CURRICULUM VITAE

 

DORON S. LUBINSKY

 

August 2021

LUBINSKY, DORON S,  School of Mathematics, Georgia Institute of Technology, Atlanta, Georgia 30332-0160

 

EDUCATION:

1978-1980:  Ph.D student at Witwatersrand University. Thesis Title:  Exceptional Sets of Pade Approximants.
Supervisor: a very kind professor, Colin Wright.

 

1977: Bachelor of Science Honours in Applied Mathematics, Witwatersrand University.

 

1977: Bachelor of Science Honours in Pure Mathematics, Witwatersrand University.

 

1974-1975: Bachelor of Science majoring in Mathematics, Applied Mathematics and Computer Science, Witwatersrand University.

 

1973: Bachelor of Science (first year), University of South Africa.

 

EMPLOYMENT:

2001 - Present: Professor, School of Mathematics, Georgia Institute of Technology

 

1989 - 2001     Professor, Mathematics Department, Witwatersrand University.

 

1989 - 1989:    Visiting Professor at University of South Florida, Tampa, Florida.

 

1987 - 1989:    Part time Professor, Mathematics Department, Witwatersrand University.

 

1982 - 1988:    Researcher, NRIMS, CSIR, Pretoria.

 

1985 - 1986:    Visiting Professor at University of South Florida, Tampa, Florida. (On study

                         leave from CSIR)

 

1982 - 1982:    Visiting lecturer at Witwatersrand University.

 

1980 - 1982:    Postdoctoral fellow at Technion, I.I.T., Haifa, Israel.

 

 

FELLOWSHIPS & AWARDS:
2012: Fellow of the American Mathematical Society

2010-2015: Research Fellow of African Institute of Mathematical Sciences.
2008: Geoffrey Eichholz Teaching Award.

2008: Freshman Council Burdell's Professor of the Year Award.
2008: Women in Science and Engineering (WISE) Faculty Teaching Award.

2000: Millenium Medal from the South African Maths Society for Research

1994: Elected a fellow of the Royal Society of South Africa.

1993: Vice-Chancellor's Research Award for 1994 (jointly with U. Ripamonti).

1989: A-rating for research, awarded by the Foundation for Research and Development.

1986: South African Mathematical Society Award for research in Orthogonal Polynomials.

1980-1982: Lady Davis Postdoctoral Fellowship at Technion, I.I.T., Israel.

1978-1980: AECI Postgraduate Research Fellowship, Witwatersrand University.

1976-1977: CSIR and Senior Bursaries and Lawenski Scholarship, Witwatersrand University.

1976-1977: UNICO Medals for best B.Sc. Hons. student (joint award).

1975: William Cullen Medal for best B.Sc. graduate (joint award); Herbert le May medal for best Applied Maths Major (joint award).

RESEARCH GRANTS
1989-2001: A rating from the National Research Foundation, with grant support.
2004-2006: NSF Individual Grant DMS-0400446
2004: NSF Grant for Constructive Function Theory Tech-04.
2005-2007: BSF Award (Israel-US Binational Science Foundation award) with PI Avram Sidi (Technion) and Eli Levin (Open University of Israel)
2007-2009: NSF Individual Grant DMS-0700427
2009-2014:  BSF Award (Israel-US Binational Science Foundation award 2008399) with PI Avram Sidi (Technion) and Eli Levin (Open University of Israel)
2010-2013: NSF Individual Grant DMS-1001182
2014: NSF Conference Award DMS-1363146, for "Constructive Functions 2014 and School" with Doug Hardin and Brian Simanek.

2014-2017: NSF Individual Grant -DMS- 1362208
2017: NSF Conference Award DMS-DMS- 1713763, for CMFT 2017

2018-2021:  NSF Individual Grant -DMS- 1800251

EDITORIAL WORK:

Associate Editor for:
1) Journal of Approximation Theory;
2) Constructive Approximation;
3) Quaestiones Mathematicae (Journal of the S. A. Math. Soc.) (1990's-2019);
4) ETNA (Electronic Transactions on Numerical Analysis) (1995-2003) (2006 - 2009);
5) Chief Editor for Computational Methods and Function Theory (2016-)
6) Chief Guest Editor for the Proceedings of Constructive Functions Tech-04 (appeared as Volume 25 of ETNA).

7) Editor (together with Brian Simanek and Doug Hardin) of "Modern Trends in Constructive Function Theory", Volume 661(2016) of Contemporary Mathematics, Proceedings of the Conference in Honor of Ed Saff's 70th Birthday.

8) Editorial Advisory Board for Demonstratio Mathematica (2018-)


REFEREEING:

Transactions of the AMS;   Proceedings of the AMS; Israel Journal of Math;  Journal of the London Math. Soc.; Annals of Math;

SIAM Journal of Math. Anal.;  SIAM Journal of Matrix Anal and its Applns.;   SIAM Journal of Numerical Analysis; Mathematics of Computation; Journal of Approximation Theory; J. d"Analyse Math., Journal of Mathematical Physics,

Constructive Approximation; Rocky Mountain Jour. Math.;  Journal of Australian Math. Soc.

Acta Mathematica (Sweden); Acta Mathematica Hungarica; Journal of Comp. and Applied Maths.;  Journal of Math. Anal. and Applns.; Facultatis Nis (ex Yugoslavia); Analysis (International J. Analysis and Applns.); Revista Colombiana de Matematicas; Publicationes Mathematicae Debrecen; Linear Algebra and its Applications; Methods and Applications of Analysis; Studia Mathematica; J. Math. Soc. Japan; International Maths Research Notices (Duke University); Journal of Statistical Physics; Mathematische Annalen

 

 

TEACHING:

Georgia Institute of Technology:
Fall 2021                     Math2550      Introduction to Multivariable Calculus
Summer 2021               Math4317       Undergraduate Real Analysis I (28 students at end)
Spring 2021                 Math2550       Introduction to Multivariable Calculus, 385 students at end of course
Fall 2020                     Math6337       Real Analysis I (Graduate) At start of course, 30 students, 25 at end.
Spring 2020                 Math2551        Calculus III                  About 590 students at start, about 570 at end.
Fall 2019                     Math6337      Real Analysis I (Graduate) About 35 students
Spring 2019                  Math 2551      Calculus III                  About 585 students at start of class, 573 at end.
Fall 2018                      Math6337       Real Analysis I (Graduate) At start of course, 30 students
Fall 2018                      Math8900       Approximation Theory  (reading course, 1 student)
Summer 2018               Math8900       Orthogonal Polynomials (reading course, 1 student)
Spring 2018                  Math8900       Potential Theory (reading course, 1 student)
Spring 2018                  Math2551       Calculus III                 At end of course, about 570 students (135 on campus, and 435 distance)
Fall 2017                      Math6337       Real Analysis I (Grad) At end of course, 25 students
Summer 2017               Math2551       Calculus III                 At end of course, about 84 students (campus and online)
Spring 2017                  Math2551      Calculus III                  At end of course, 132 on campus students and 436 distance students
Fall 2016                      Math8803       Potential Theory           Two students completed the course
Summer 2016               Math6338        Real Analysis II(Grad) Two (sic!) students
Spring 2016                  Math2551       Calculus III                 About 310 students at start (high school, on campus)
Summer 2015  (half)      Math1522       Linear Algebra            About 25 students
Spring 2015                  Math1502        Calculus II                  About 240 students
Summer 2014 (half)       Math1502       Calculus II                   About 70 students
Spring 2014                  Math1502       Calculus II                   About 240 students
Spring 2013                  Math1502      Calculus II                    About 330 students at start, about 312 at end.
Spring 2013                  Math 8900      Special Problems (Orthogonal Polynomials)    1 student
Fall 2012                      None -  due to Undergraduate Coordinator duties
Summer 2012 (half)       Math4581      Classical Math Methods in Engineering  About 25 students at start
Spring 2012                  Math1502      Calculus II                     About 370 students at start
Fall 2011                      None -  due to Undergraduate Coordinator duties
Spring 2011                  Math1502      Calculus II                     About 370 students at start, 360 at end.
Fall 2010                      None - due to Undergraduate Coordinator duties
Summer 2010 (half)     Math4305       Linear Algebra             About 30 students
Summer 2010               Math 1502       Calculus II                   About 100 students
Spring 2010                  Math1502       Calculus II                   About 400 students  at end

Fall 2009                       None - due to Undergraduate Coordinator duties

Spring 2009                  Math8900     Special Problems            1 student

Spring 2009                   Math1502      Calculus II                        About 400 students at the end
Fall 2008                       Math8900      Potential Theory                About 6 students               
Spring 2008                   Math1502      Calculus II                        About  490 students at start                     
Fall 2007                       Math1502    Calculus II                          231 students at end

Fall 2007                      Math8900     Special Problems               1 student

Summer 2007                Math8823     Orthogonal Polynomials         2 students
Spring 2007                   Math 1502    Calculus II                           490 students at start, 460 at end
Fall 2006                       Math 6327   Graduate Real Analysis            about 9 students 
Spring 2006                   Math1502     Calculus II                          about 340 students
Fall 2005                       Math6327     Graduate Real Analysis          18 students
Spring 2005                   Math1502     Calculus II                         about 290 students
Fall 2004                       Math4318    Analysis II                             14 students         
Summer  2004              Math8803     Orthogonal Polynomials        1 student

Spring 2004                  Math4317    Real Analysis                      about 40 students
Spring2004                  Math1502   Calculus II                            about 165 students
Fall 2003                      Math 8823   Potential Theory                   5 students

Summer 2003               Math6584     Special Functions                about 20 students

Summer 2003               Math1502      Calculus II                          about 150 students

Spring 2002                  Math1502      Calculus II                          about 180 students

Spring 2003                  Math 4318      Analysis II                          about  30 students                     

Fall 2002                     Math 4317      Real Analysis                          33 students

Summer 2002              Math 1502      Calculus II                             110 students

Spring 2002                 Math 4305       Topics in Linear Algebra           38 students

Spring 2002                  Math 4318       Analysis II                                22 students

Fall 2001                      Math 4317       Real Analysis                            35 students

 

Administration at Georgia Tech
1) Member, secretary, of Graduate Committee
2) Member of Committee to Select VIGRE Postdocs
3) Organiser of  Constructive Functions - Tech 04, November 2004.
4) Member of the Organising Committee of IDOMAT 2004, Dortmund, Germany.
5) Member, Acting Chair, of Promotions and Tenure Committee

6) Member, Salaries and Awards Committee

7) Member, Undergraduate Committee

8) Undergraduate Coordinator (Fall 2009 - Fall 2014)

9) Member, Senior Promotions and Tenure Committee, 2018-

10) Secretary, Hiring Committee, Fall 2018-Spring 2019

11) Member, Junior Promotions and Tenure Committee, 2020-
12) Member, Senior Promotions and Tenure Committee, 2020-


Conference Organization

1) Chief organizer, Constructive Functions Tech-04, November 7-9, 2004, Georgia Tech, in honor of Ed Saff.

2) Co-organizer, Special session on approximation theory, conference in honor of Charles Chui, Athens GA, May 2005.

3) Co-organizer, Special Session on approximation theory, AMS Sectional meeting, Miami, April 2, 2006.
4) Co-organizer, Workshop on polynomials, Banff, November 2007.

5) Co-organizer, Special Session "Frontiers of Orthogonal Polynomials", at 13th Texas Conference on Approxiamtion Theory, March 8-10, 2010.
6) Co-organizer, Workshop on New Perspectives in univariate and multivariate orthogonal polynomials, Banff, October 10-15,  2010.

7) Scientific Committee of CCAAT 2011 (Conference in honor of Nicola Papamichael), Cyprus, June 2011.

8) Co-organizer, CAOTA 2011 (Conference in Memory of Franz Peherstorffer), Linz, Austria, July 2011.
9) Scientific Committee of Conference in honor of Dany Leviatan, Jaen, Spain, 2011.
10) Chair, AMS side of joint program Committee, for joint AMS-SAMS meeting in Port Elizabeth, South Africa, November-December, 2011.
11) Co-organizer, Special session,  "Orthogonal Polynomials and Their Applications to Approximation Theory", Nashville, 2011.

12) Co-organizer, Special session on Asymptotics of Orthogonal Polynomials, SIAM 2013, San Diego, July 8-12, 2013.
13) Scientific Committee of  Third Jaen Conference on Approximation Theory, July 15-20, Ubeda, 2012.
14) Co-organizer of Constructive Functions 2014, Vanderbilt University, May 2014.

15) Organizer of Special Session on Asymptotics of Orthogonal Polynomials, at OPSFA-13, June 1-5, 2015, Washington DC.
16) Scientific Committee of  Seventh Jaen Conference on Approximation Theory, July 3-8, Ubeda, 2016.
17) Coorganizer of Special Session on Orthogonal polynomials (Special Session #17) at the 2017 Joint Mathematics Meeting in Atlanta, GA, Jan. 4-7, 2017.

18) Co-organizer of CMFT Conference, Lublin, Poland, July 2017.

19) Scientific Committee of  Eighth Jaen Conference on Approximation Theory, July 2-7, Ubeda, 2017.

20) Coorganizer of Analysis, Approximation Theory, Operator Theory and their InteractionsMarch 2018, in honor of the 70th birthday of Paul Nevai, and 80th birthday of Boris Mityagin.

21) Coorganizer of American Institute of Mathematics Workshop "Zeros of Random Polyonmials", August 2019, California.

22) Scientific Committee of  Ninth Jaen Conference on Approximation Theory, July 8-13 Ubeda, 2018.

23) Scientific Committee of 15th OPSFA, Linz, Austria, July 22-26, 2019.

24) Scientific Committee of  Tenth Jaen Conference on Approximation Theory, June 30 - July 5, 2019.

25) Co-organizer of American Institute of Mathematics Workshop, Zeros of Random Polynomials, August 12 - August 16, San Jose, CA.

26) Co-organizer of CMFT 2021, Valparaiso, Chile, July 12-16, 2021, postponed to January10-14, 2022.


Ph.D. STUDENTS:

1) A. Knopfmacher (1983-1985)

2) L. Pretorius (1987 co-promoter)

3) K. Driver (1988-1991)

4) T. Mthembu (1988-1991)

5) D.M. Matjila (1991-1994)

6) S.B. Damelin (1993 -1995)

7) P. Zhou (1995-1996)

8) D. Kubayi (1998 - 2001)

9) H.P. Mashele (1998 - 2001)

10) C.K. Kobindarajah (2000-2001)
11) Ulfar Stefansson (2006-2010)

 

M.Sc. STUDENTS:

1) I. Momoniat (1983-1985)

2) G. Coppin (1988-1990)

3) K. Engelbrecht (1990-1991)

4) P. Brown (1992-1993)

5) S.B. Damelin (1992-1993)

6) P. Zhou (1993-1994)

7) L. Gcilitshana (1995-1998)

8) J.B. Gyamfi-Owusu (1995-1997)

9) D. Kubayi (1996-1998)

10) C.K. Kobindarajah (1998)

11) D.S. Rusznyak (co-supervisor) (1998)

12) K. Morris (co-supervisor) (2001)

REU Students
Ioanna Soran (June/July 2005)
Beth Hart (May/June/July 2006)

Jeremy McKibben-Sanders (June/July 2008)

John Reinhardt (June/July 2009)
Trevor Loranger (May/June/July 2011)

Vy Nguyen (May/June/July 2012)
Andrea Martinez (May/June/July 2017)
Chenlu Wang (May - July 2017)

Gidon Kowalsky (June - July 2019)

Cooper Billsborough, Michael Freedman, Samuel Hart, Gidon Kowalsky, Ari Pomeranz, Ana Sammel (May-July 2020)

Cooper Billsborough, Sarah Gold, Ephraim Linder, Jiahui Yu (June-July 2021)


RESEARCH INTERESTS:

1) Orthogonal Polynomials (especially their quantitative behaviour for

exponential weights) with applications to approximation theory, numerical

analysis, harmonic analysis, random matrices;
2) Rational approximation (especially Pad'e approximation);

3) Inequalities, especially involving potential theory and/ or complex analysis;

4) Numerical Integration;
5) q series (especially in the singular case that q is on the unit

circle) and also their applications in irrationality and transcendence theory

 

BOOKS/LECTURE  NOTES PUBLISHED:
1) Strong Asymptotics for Extremal Polynomials Associated with Weights on (-infinity, infinity) (D.S. Lubinsky and E.B. Saff), Springer Lecture Notes, Vol. 1305, Springer, Berlin, 1988.

 

2) Strong Asymptotics for Extremal Errors Associated with Erdos-type Weights, Pitman Research Notes, Vol. 202, Longmans, Burnt Mill, Essex, 1989.

 

3) Orthogonal Polynomials for Exponential Weights (Eli Levin and D.S. Lubinsky), Canadian Mathematical Monographs Series, Vol. 4, Springer, New York, 2001.


4) Bounds and Asymptotics for Orthogonal Polynomials for Varying Weights (Eli Levin and D.S. Lubinsky), Springer Briefs in Mathematics, Springer, New York, 2018.

 

 

MEMOIRS PUBLISHED:

1) Christoffel Functions and Orthogonal Polynomials for Exponential Weights on [-1,1] (A.L. Levin and D.S. Lubinsky), Memoirs of the Amer. Math. Soc., Vol. 111, No. 535 (146 pages), September 1994.

 

REFEREED PUBLICATIONS:

 

Papers Already Published:

1) Diagonal Pad'e Approximants and Capacity, Journal of Mathematical Analysis and Applications, 78 (1980), 58-67.

 

2) On Non-Diagonal Pade Approximants, Journal of Mathematical Analysis and Applications, 78 (1980), 405-428.

 

3) Best Approximation over the Whole Complex Plane (D.S. Lubinsky and O. Shisha), Journal of Approximation Theory, 36 (1982), 277-293.

 

4) Divergence of Complex Rational Approximations, Pacific Journal of Mathematics, 108 (1983), 141-153.

 

5) Geometric Convergence of Lagrangian Interpolation and Numerical Integration Rules, Journal of Approximation Theory, 39 (1983), 338-360.

 

6) On the Largest Zeros of Orthogonal Polynomials for Certain Weights (D.S. Lubinsky and A. Sharif), Mathematics of Computation, 41 (1983), 199-202.

 

7) Convergence of Linear and Nonlinear Pad'e Approximants from Series of Orthogonal Polynomials (D.S. Lubinsky and A. Sidi), Transactions of the American Mathematical Society, 278 (1983), 333-345.

 

8) On the Zeros of Some Polynomials that arise in Numerical Quadrature and Convergence Acceleration (A. Sidi and D.S. Lubinsky), SIAM Journal of Numerical Analysis, 20 (1983), 400-405.

 

9) Convergence of Exponential Interpolation for Completely Bounded Functions (A. Sidi and D.S. Lubinsky), Journal of Approximation Theory, 39 (1983), 185-201.

 

10) On Convergence of Rational and Best Rational Approximations, Journal of Mathematical Analysis and Applications, 98 (1984), 419-434.

 

11) A Weighted Polynomial Inequality, Proceedings of the American Mathematical Society, 92 (1984), 263-267.

 

12) Rates of Convergence of Gaussian Quadrature for Singular Integrands (D.S. Lubinsky and P. Rabinowitz), Mathematics of Computation, 43 (1984), 219-242.

 

13) Product Integration of Logarithmic Singular Integrands Based on Cubic Splines (A. Alaylioglu, D. Eyre and D.S. Lubinsky), Journal of Computational and Applied Mathematics, 11 (1984), 353-366.

 

14) Note on Polynomial Approximation of Monomials and Diophantine Approximation, Journal of Approximation Theory, 43 (1985), 29-35.

 

15) On Nevai's Bounds for Orthogonal Polynomials Associated with Exponential Weights, Journal of Approximation Theory, 44 (1985), 86-91.

 

16) Pade Tables of a Class of Entire Functions, Proceedings of the American Mathematical Society, 94 (1985), 399-405.

 

17) Simultaneous Rational Approximation of a Function and its Derivatives (A.L. Levin and D.S. Lubinsky), Journal of Approximation Theory, 44 (1985), 205-220.

 

18) Pade Tables of Entire Functions of Very Slow and Smooth Growth, Constructive Approximation, 1 (1985), 349-358.

 

19) Estimates of Freud-Christoffel Functions for Some Weights with the Whole Real Line as Support, Journal of Approximation Theory, 44 (1985), 343-379.

 

20) Gaussian Quadrature, Weights on the Whole Real Line and Even Entire Functions with Non-negative Even Order Derivatives, Journal of Approximation Theory, 46 (1986), 297-313.

 

21) Convergence of Product Integration Rules for Functions with Interior and Endpoint Singularities over Bounded and Unbounded Intervals (D.S. Lubinsky and A. Sidi), Mathematics of Computation, 46 (1986), 229-246.

 

22) Best Rational Approximation of Entire Functions whose Maclaurin Series Decrease Rapidly and Smoothly, (A.L. Levin and D.S. Lubinsky), Transactions of the American Mathematical Society, 293 (1986), 533-546.

 

23) Even Entire Functions Absolutely Monotone in (0, ∞) and Weights on the Whole Real Line, (in) Orthogonal Polynomials and Their Applications (C. Brezinski et al, eds.), Springer Lecture Notes in Mathematics, Vol. 1171 (1986), 221-229.

 

24) Freud's Conjecture for Exponential Weights (D.S. Lubinsky, H.N. Mhaskar, E.B. Saff), Bulletin of the Amer. Math. Soc., 15 (1986), 217-221.

 

25) Canonical Products and the Weights exp (- | x  |α ), α >1, with Applications (A.L. Levin and D.S. Lubinsky), Journal of Approximation Theory, 49 (1987), 149-169.

 

26) Weights on the Real Line that admit Good Relative Polynomial Approximation, with Applications (A.L. Levin and D.S. Lubinsky), Journal of Approximation Theory, 49 (1987), 170-195.

 

27) Mean Convergence of Lagrange Interpolation for Freud's Weights with Application to Product Integration Rules (A. Knopfmacher and D.S. Lubinsky), Journal of Computational and Applied Mathematics, 17 (1987), 79-105.

 

28) Asymptotics of Toeplitz Determinants and Rows of the Pade Table, (in) Approximation Theory 5, pp.443-446, Academic Press, New York, 1986.

 

29) Derivatives of Orthogonal Polynomials and Characterization of Weights (S. Bonan, D.S. Lubinsky and P. Nevai),  (in) Approximation Theory 5, pp.271-274, Academic Press, New York, 1986.

 

30) Pade Approximation of Partial Theta Functions and the Rogers-Szego Polynomials (D.S. Lubinsky and E.B. Saff),  (in) Approximation Theory 5, pp.447-450, Academic Press, New York, 1986.

 

31) Quadrature Sums involving pth Powers of Polynomials (D.S. Lubinsky, A. Mate and P. Nevai), SIAM J. of Math. Anal., 18 (1987), 531-544.

 

32) A Product Quadrature Algorithm for Oscillatory Integrals by Hermite Interpolation (A. Alaylioglu and D.S. Lubinsky), Journal of Computational and Applied Mathematics, 17 (1987), 137-169.

 

33) Convergence theorems for Rows of Differential and Algebraic Hermite-Pade Approximants (George A. Baker, Jr. and D.S. Lubinsky), Journal of Computational and Applied Mathematics, 18 (1987), 29-52.

 

34) Uniform Convergence of Rows of the Pade Table for Functions with Smooth Maclaurin Series Coefficients, Constructive Approximation, 3 (1987), 307-330.

 

35) Orthogonal Polynomials and their Derivatives, II (D.S. Lubinsky, S. Bonan and P. Nevai), SIAM J. Math. Anal., 18 (1987), 1163-1176.

 

36) Polynomial Approximation with Exponential Weights (Z. Ditzian, D.S. Lubinsky, P. Nevai and V. Totik), Acta Math. Hung., 50 (1987), 165-175.

 

37) Convergence of Pade Approximants for the Partial Theta Functions and the Rogers-Szego Polynomials (D.S. Lubinsky and E.B. Saff), Constructive Approximation, 3(1987), 331-361.

 

38) Analogues of Freud's Conjecture for Erdos Type Weights and Related Polynomial Approximation Problems (A. Knopfmacher and D.S. Lubinsky), (in) Approximation Theory, Tampa (E.B. Saff, ed.), Springer Lecture Notes in Mathematics, Vol. 1287, pp.21-69, Springer, Berlin, 1987.

 

39) Strong Asymptotics for Lp Extremal Polynomials (1< p < ∞) Associated with Weights on [-1,1]$, (D.S. Lubinsky and E.B. Saff), (in) Approximation Theory, Tampa (E.B. Saff, ed.), Springer Lecture Notes in Mathematics, Vol. 1287, pp. 83-104, Springer, Berlin, 1987.

 

40) A Survey of General Orthogonal Polynomials for Weights on Finite and Infinite Intervals, Acta Applicandae Mathematicae, 10 (1987), 237-296.

 

41) Markov-Bernstein Inequalities Revisited (D.S. Lubinsky and P. Nevai), (Chinese) Journal of Approximation Theory and its Applications, 3 (1987), 98-119.

 

42) A Proof of Freud's Conjecture for Exponential Weights (D.S. Lubinsky, H.N. Mhaskar and E.B. Saff), Constructive Approximation, 4 (1988), 65-83.

 

43) Uniform and Mean Polynomial Approximation by Certain Weighted Polynomials, with Applications (D.S. Lubinsky and E.B. Saff), Constructive Approximation, 4 (1988), 21-64.

 

44) Freud's Conjecture and Approximation of Reciprocals of Weights by Polynomials (A. Knopfmacher, D.S. Lubinsky and P. Nevai), Constructive Approximation, 4 (1988), 9-20.

 

45) Asymptotic Behaviour of the Ratio of Christoffel Functions for Weights W2 and W2g (A. Knopfmacher and D.S. Lubinsky), Journal of Approximation Theory, 53 (1988), 293-314.

 

46) Pade Tables of Entire Functions of Very Slow and Smooth Growth II, Constructive Approximation, 4 (1988), 321-339.

 

47) Power Series Equivalent to Rational Functions: A Shifting--Origin Kronecker Type Theorem and Normality of Pade Tables, Numerische Mathematik, 54 (1988), 33-40.

 

48) Jump Distributions on [-1,1] Whose Orthogonal Polynomials have Leading Coefficients with Given Asymptotic Behaviour, Proc. AMS, 104 (1988), 516-524.

 

49) Convergence of Interpolation to Transforms of Totally Positive Kernels, (N. Dyn and D.S. Lubinsky), Canadian Journal of Mathematics, 40 (1988), 750-768.

 

50) On Uniform Convergence of Rational, Newton-Pad'e, Interpolants of Type (n,n) with Free Poles as n  → ∞, Numerische Mathematik, 55 (1989), 247-264.

 

51) Non-Interpolatory Integration Rules for Cauchy Principal Value Integrals, (P. Rabinowitz and D.S. Lubinsky), Mathematics of Computation, 53 (1989), 279-295.

 

52) Can We Avoid Non-Normality and Spurious Poles In Pade and Rational Interpolation, in Approximation Theory VI, (eds. C.K. Chui, L.L. Schumaker, J.D. Ward), Academic Press, New York, 1989, pp.405-408.

 

53) Szego Asymptotics for Non-Szego Weights on [-1,1] (D.S. Lubinsky and E.B. Saff), in Approximation Theory VI, (eds. C.K. Chui, L.L. Schumaker, J.D. Ward), Academic Press, New York, 1989, pp.409-412.

 

54) Sufficient Conditions for Asymptotics Associated with Weighted Extremal Problems on R, (D.S. Lubinsky and E.B. Saff), Rocky Mountain Journal of Mathematics, 19 (1989), 261-269.

 

55) The Approximate Approach to Orthogonal Polynomials for Weights on  (- ∞, ∞), in Orthogonal Polynomials: Theory and Practice (ed. P. Nevai), NATO ASI Series C Vol. 294, pp.293-310, Kluwer, Dordrecht, 1990.

 

56) L  Markov and Bernstein Inequalities for Freud Weights, (A.L. Levin and D.S. Lubinsky), SIAM Journal of Math. Anal., 21(1990), 1066-1082.

 

57) L Markov and Bernstein Inequalities for Erdos Weights, Journal of Approximation Theory, 60(1990), 188-230.

 

58) Coefficient Bounds in the Lorentz Representation of a Polynomial (D.S. Lubinsky and Z. Ziegler), Canadian Math. Bull., 33(1990), 197-206.

 

59) Rows and Diagonals of the Walsh Array for Entire Functions with Smooth Maclaurin Series Coefficients, (A.L. Levin and D.S. Lubinsky), Constructive Approximation, 6(1990), 257-286.

 

60) The Supremum Norm of Christoffel Functions for Erdos Weights, (D.S. Lubinsky and T.Z. Mthembu), Journal of Approximation Theory, 63(1990), 255-266.

 

61) Non-normality of Continued Fraction Partial Quotients Modulo Q, (A. Knopfmacher and D.S. Lubinsky), Revista Colombiana de Matematicas, 24(1990), 179-182.

 

62) Convergence of Pad'e Approximants for Wynn's Power Series II, (K. Driver and D.S. Lubinsky), in Colloquia Mathematica Societatis Janos Bolyai, (Proceedings of Kecskemet Approximation Theory Conference, Hungary) 58(1990): 221-239.

 

63) Singularly Continuous Measures in Nevai's Class M, Proc. Amer. Math. Soc., 111(1991), 413-420.

 

64) Lp Markov-Bernstein Inequalities for Erdos Weights (D.S.Lubinsky and T.Z.Mthembu), Journal of Approximation Theory, 65(1991), 322-340.

 

65) Rational versus Polynomial Approximation of Entire Functions (Proceedings of Erice Conference), IMACS Annals on Computing and Applied Mathematics, 9(1991), 81-86.

 

66) Markov-Bernstein Inequalities for Erdos Weights, (D.S. Lubinsky and T.Z. Mthembu), (Proceedings of Erice Conference), IMACS Annals on Computing and Applied Mathematics, 9(1991), 337-340.

 

67) On the Density of Generalized Polynomials, (N. Dyn, D.S.Lubinsky, and B. Shekhtman), Canadian Math. Bull., 34(1991), 202-207.

 

68) Distribution of Poles of Diagonal Rational Approximants to Functions of Fast Rational Approximability, Constructive Approximation, 7(1991), 501-519.

 

69) Convergence of Pade Approximants for Wynn's Power Series I, (K.Driver and D.S. Lubinsky), Aequationes Mathematicae, 42(1991), 85-106.

 

70) Irregular Distribution of {n β}, n = 1,2,3,...,Quadrature of Singular Integrands, and Curious Basic Hypergeometric Series, (K. Driver, D.S. Lubinsky, G. Petruska and P. Sarnak), Indagationes Mathematicae, 2(1991), 469-481.

 

71) Spurious Poles in Diagonal Rational Approximation, n Progress in Approximation Theory (eds. A.A. Goncar and E.B. Saff), Springer-Verlag, Berlin, 1992, pp. 191-213.

 

72) Orthogonal Expansions and the Error of Weighted Polynomial Approximation for Erdos Weights, (D.S. Lubinsky and T.Z. Mthembu), Numerical Functional Analysis and Optimization, 13(1992), 327-348.

 

73) Hermite and Hermite-Fejer Interpolation Associated with Weights on  R: The L -Theory, (D.S. Lubinsky), Journal of Approximation Theory, 70(1992), 284-334.

 

74) Christoffel Functions, Orthogonal Polynomials, and Nevai's Conjecture for Freud Weights, (A.L. Levin and D.S. Lubinsky), Constructive Approximation, 8 (1992), 463-535.

 

75) Sub-Exponential Growth of Solutions of Difference Equations, (D.S. Lubinsky and P. Nevai), J. Lond. Math. Soc., 46 (1992), 149-160.

 

76) Hermite and Hermite-Fejer Interpolation Associated with Weights on  R: The L1 Theory, (D.S. Lubinsky and P. Rabinowitz), Canadian J. Math., 44(1992), 561-590.

 

77) Convergence of Simultaneous Hermite-Pad'e Approximants to the n-Tuple of q-Hypergeometric Series {1 Phi 1 ((1,1),(c,_γj); z)}nj=1, (M. de Bruin, K.A. Driver and D.S. Lubinsky), Numerical Algorithms, 3 (1992), 185-192.

 

78) Interpolatory Integration Rules and Orthogonal Polynomials with Varying Weights, (T. Bloom, D.S. Lubinsky and H.B. Stahl), Numerical Algorithms, 3 (1992), 55-66.

 

79) Hermite-Fejer Interpolation for Weights on the Whole Real Line, (D.S. Lubinsky and P. Rabinowitz), n Constructive Theory of Functions 91 (eds. K.G. Ivanov, P.P. Petrushev, B.H. Sendov), Publishing House of the Bulgarian Academy of Sciences, Sofia 1992, pp.183-192.

 

80) Irregular Distribution of {n β}; n = 1,2,3,... , and Curious Basic Hypergeometric Series, (K.A. Driver, D.S. Lubinsky, G. Petruska), in Constructive Theory of Functions 91 (eds. K.G. Ivanov, P.P. Petrushev, B.H. Sendov), Publishing House of the Bulgarian Academy of Sciences, Sofia 1992, pp.115-122.

 

81) What Distributions of Points are Possible for Convergent Sequences of Interpolatory Integration Rules? (T. Bloom, D.S. Lubinsky and H. Stahl), Constructive Approximation, 9 (1993), 41-58.

 

82) Distribution of Points for Convergent Interpolatory Integration Rules on (-∞,∞), (T. Bloom, D.S. Lubinsky and H. Stahl), Constructive Approximation, 9 (1993), 59-82.

 

83) Convergence of Pade Approximants for a q-hypergeometric Series (Wynn's Power Series III), (K. Driver and D.S. Lubinsky), Aequationes Mathematicae, 45 (1993), 1-23.

 

84) Markov-Bernstein and Nikolskii Inequalities, and Christoffel Functions for Exponential Weights on [-1,1], (D.S. Lubinsky and E.B. Saff), SIAM J. Math. Anal., 24 (1993), 528-556.

 

85) The Zero Distribution of the Partial Products of Power Product Expansions, (H. Gingold, A. Knopfmacher and D.S. Lubinsky), Analysis, 13 (1993), 133-157.

 

86) On the Degree of Non-Uniqueness of Simultaneous Hermite- Pade Approximants to A Vector of Entire Functions (K.A. Driver and D.S. Lubinsky), Indagationes Mathematicae, 4 (1993), 297-310.

 

87) Pointwise Convergence of Fourier Transforms (D.S. Lubinsky and F. Moricz), Archiv der Mathematik, 61 (1993), 82-87.

 

88) Convergence of Product Integration Rules for Weights on the Whole Real Line, n Contributions in Numerical Mathematics (R.P. Agarwal, Ed.), World Scientific Series in Applicable Analysis, Volume 2, World Scientific, Singapore, 1993, pp.255-270.

 

89) Distributions of Points in Convergent Sequence of Interpolatory Integration Rules: The Rates (D. Lubinsky, T. Bloom, H. Stahl), in Proceedings of Oberwolfach Conference, (H. Brass and G. Hammerlin, eds.), ISNM Series in Numerical Mathematics, Vol. 112, Birkhauser, Basel, 1993,

pp.25-37.

 

90) Convergence of Simultaneous Hermite-Pad'e Approximants to the n -Tuple of q -Hypergeometric Series {2 Phi0((A, αj),(1,1); z)}nj=1, (M. de Bruin, K.A. Driver and D.S. Lubinsky), Journal Comp. Applied Maths, 49 (1993), 37-44.

 

91) Bounds for Orthogonal Polynomials for Exponential Weights on (-1,1) and (-∞, ∞), (A.L. Levin and D.S. Lubinsky), Rendiconti del Circolo Matematico di Palermo, 33 (1993), 75-96.

 

92) Behaviour of Alternation Points in Best Rational Approximation, (D. Braess, D. Lubinsky, E.B. Saff), Acta Appl. Math., 33 (1993), 195-210.(Also in Nonlinear Numerical Methods and Rational Approximation II, (ed. A. Cuyt), Kluwer, 1994, pp.159-172).

 

93) An Update on Orthogonal Polynomials and Weighted Approximation on the Real Line, Acta Appl. Mathematicae, 33 (1993), 121-164.

 

94) Mean Convergence of Lagrange Interpolation for Erdos Weights, (D.S. Lubinsky and T.Z. Mthembu), J. Comp. Appl. Math., 47 (1993), 369-390.

 

95) How to Discretise a Logarithmic Potential, (D. Lubinsky and V. Totik), Acta Sci. Math. Szeged., 57(1993), 419-428.

 

96) The Weighted Lp-Norms of Orthonormal Polynomials for Freud Weights, (D.S. Lubinsky and F. Moricz), J. Approx. Theory, 77 (1994),

42-50.

 

97) Best Weighted Polynomial Approximation via Jacobi Expansions (D. Lubinsky and V. Totik), SIAM J. Math. Anal., 25 (1994), 555-570.

 

98) Degree of Approximation by Rational Functions with Prescribed Numerator Degree, (D. Leviatan and D. Lubinsky), Can. J. Math., 46 (1994), 619-633.

 

99) Lp Markov-Bernstein Inequalities for Freud Weights, (A.L. Levin and D.S. Lubinsky), J. Approx. Theory, 77 (1994), 229-248.

 

100) Hermite-Pade Polynomials and Approximation Properties, (K. Driver, D. Lubinsky and H. Wallin), in Nonlinear Numerical Methods and Rational Approximation II (ed. A. Cuyt), Kluwer, 1994, pp.261-268.

 

101) Zeros of Orthogonal and Biorthogonal Polynomials: Some Old, Some New, in Nonlinear Numerical Methods and Rational Approximation II, (ed. A. Cuyt), Kluwer, 1994, pp.3-16.

 

102) Weighted Polynomial Approximation with Freud Weights, (D.S. Lubinsky and V. Totik), Constructive Approximation, 10 (1994), 301-315.

 

103) Rational vs. Polynomial Approximation of Entire Functions, in Linear and Complex Analysis Problem Book 3, (eds. V.P. Havin and N.K. Nikolskii), Springer Lecture Notes, Vol. 1574, Springer, Berlin, 1994, pp. 194-195.

 

104) Christoffel Functions and Orthogonal Polynomials for Erdos Weights, (A.L. Levin, D.S. Lubinsky and T.Z. Mthembu), Rendiconti di Matematica di Roma, 14(1994), 199-289.

 

105) Strong Asymptotics for Polynomials Biorthogonal to Powers of log x, (D.S. Lubinsky and A. Sidi), Analysis, 14(1994), 341-379.

 

106) Necessary and Sufficient Conditions for Mean Convergence of Lagrange Interpolation for Freud Weights, (D. Lubinsky and D. Matjila), SIAM J. Math. Anal., 26(1995), 238-262.

 

107) Functions of the Second kind for Freud Weights and Series Expansions of Hilbert Transforms, (G. Criscuolo, B.M. Della-Vecchia, D. Lubinsky and G. Mastroianni), J. Math. Anal. Applns., 189(1995), 256-296.

 

108) Orthogonal Polynomials and Christoffel Functions for exp (- |x|α ), α < 1, (A.L. Levin and D.S. Lubinsky), J. Approx. Theory, 80(1995), 219-252.

 

109) Weierstrass' Theorem in the Twentieth Century: A Selection, Quaestiones Math., 18(1995), 91-130.

 

110) Convergence of Diagonal Pade Approximants for Functions Analytic near 0, Trans. Amer. Math. Soc., 723(1995), 3149-3157.

 

111) An Extension of the Erd"os-Turan Inequality for Sums of Successive Fundamental Polynomials, Annals of Numerical Mathematics (Baltzer AG), 2(1995), 305-309.

 

112) A Survey of Mean Convergence of Orthogonal Polynomial Expansions, Proc. of 2nd Confer. on Function Spaces (Edwardsville, Illinois) (ed. K. Jarosz), Dekker, New York, 1995, pp. 281-310.

 

113) Converse Quadrature Sum Inequalities for Polynomials with Freud Weights, Acta. Scient. Math. (Szeged), 60(1995), 527-557.

 

114) Necessary and Sufficient Conditions for Mean Convergence of Orthogonal Expansions for Freud Weights, (S-W. Jha and D.S. Lubinsky), Constr. Approx., 11(1995), 331-363.

 

115) Full Quadrature Sums for pth Powers of Polynomials with Freud  Weights, (D.S. Lubinsky and D. Matjila), J. Comp. Appl. Math., 60(1995), 285-296.

 

116) Ideas of Weighted Polynomial Approximation on (-∞, ∞), n Proceedings of Aproximation Theory VIII, (eds. C.K. Chui, L.L. Schumaker), World Scientific, Singapore, 1995, pp. 371-396.

 

117) On the Diagonal Pade Approximants of Meromorphic Functions, Indagationes Mathematicae, 7(1996), 97-110.

 

118) Nuttall-Pommerenke Theorems for Homogeneous Approximants, (A. Cuyt, K. Driver, D.S. Lubinsky), J. Comp. Appl. Math., 67(1996), 141-146.

 

119) On The Size of Lemniscates of Polynomials in One and Several Variables, (A. Cuyt, K. Driver, D.S. Lubinsky), Proc. Amer. Math. Soc., 124(1996), 2123-2136.

 

120) Kronecker Type Theorems, Normality and Continuity of the Multivariate Pade Operator (A. Cuyt, K. Driver, D.S. Lubinsky), Numerische Mathematik, 73(1996), 311-328.

 

121) A Direct Approach to Convergence of Multivariate, Non-homogeneous Pade  Approximants, (A. Cuyt, K. Driver, D.S. Lubinsky), J. Comp. Appl. Math., 69(1996), 353-366.

 

122) Necessary and Sufficient Conditions for Mean Convergence of Lagrange Interpolation for Erdos Weights, (S.B. Damelin and D.S. Lubinsky), Can. Math. J., 40(1996), 710-736.

 

123) Necessary and Sufficient Conditions for Mean Convergence of Lagrange Interpolation for Erd"os Weights II, (S.B. Damelin and D.S. Lubinsky), Can. Math. J., 40(1996), 737-757.

 

124) Continuing the Fraction, SA Journal of Science, 92(1996), 363-364.

 

125) Jackson and Bernstein Theorems for Exponential Weights, n Approximation Theory and Fourier Series, (eds. P. Vertesi et al.), Janos Bolyai Society, Vol.5, Budapest, 1996, pp. 85-115.

 

126) On the Convergence of Multivariate Pad'e Approximants (A. Cuyt and D.S.Lubinsky), Bulletin de la Societe Mathematique de Belgique, (Special Issue on Numerical Analysis), December 1996, pp. 51-61.

 

127) The Weighted Lp Norms of Orthonormal Polynomials for Erdos Weights, Int. J. for Computers and Mathematics and its Applications, 33(1997), 151-163.

 

128) Jackson and Smoothness Theorems for Freud Weights in Lp (0 < p < ∞ ), (Z. Ditzian and D.S. Lubinsky), Constr. Approx., 13(1997), 99-152.

 

129) A de Montessus Theorem for Multivariate Homogeneous Pade Approximants, (A. Cuyt and D.S. Lubinsky), Annals of Numerical Mathematics, 4(1997), 217-228.

 

130)  Forward and Converse Theorems of Polynomial Approximation for Exponential Weights on [-1,1] I, J. Approx. Theory, 91(1997), 1-47.

 

131) Forward and Converse Theorems of Polynomial Approximation for Exponential Weights on [-1,1] II, J. Approx. Theory, 91(1997), 48-83.

 

133) Small Values of Polynomials: Cartan, Polya and Others, J. Ineq. And Applns., 1(1997), 199-222.

 

133) On the Irrationality of Πj = 1 (1+-q-j r + q-2js) , (P.Zhou and D.S. Lubinsky), Analysis, 17(1997), 129-153.

 

134) On q-Exponential Functions for  | q | =1, Canadian. Math. J., 41(1998), 86-97.

 

135) Smooth Maclaurin Series Coefficients in Pade and Rational Approximation, n Approximation Theory in Memory of A.K. Varma (eds., Z. Nashed, A. Sharma, J. Szabados), Marcel Dekker, New York, 1998, pp. 363-388.

 

136) Jackson Theorems for Erdos Weights in Lp (0 < p < ∞ ), (S.B. Damelin and D.S. Lubinsky) J. Approx. Theory, 94(1998), 333-382.

 

137) Marcinkiewicz-Zygmund Inequalities: Methods and Results, in Recent Progress in Inequalities (ed. G.V. Milovanovic et al.), Kluwer Academic Publishers, Dordrecht, 1998, pp. 213-240.

 

138) Mean Convergence of Lagrange Interpolation for Exponential Weights on [-1,1], Canadian Math. J., 50(1998), 1273-1297.

 

139) Bounds for Orthogonal Polynomials for Exponential Weights (AL Levin and DS Lubinsky), J. Comp. Appl. Math., 99(1998), 475-490.

 

140) Asymptotic Approximation by Entire Functions with Positive Coefficients, (in) Approximation Theory and its Applications,  (ed. T. M. Rassias), Hadronic Press, Florida, 1998, pp. 137-158.

 

141) Small Values of Polynomials and Potentials with Lp Normalization, Proc. Amer. Math. Soc., 127(1999), 529-536.

 

142) On Boundedness of Lagrange Interpolation in Lp, p < 1, Journal of Approximation Theory, 96(1999), 399-404.

 

143) Mean Convergence of Extended Lagrange Interpolation with Freud Weights (D.S. Lubinsky and G. Mastroianni), Acta Math. Hungar., 84(1999), 47-63.

 

144) Will Ramanujan kill Baker-Gammel-Wills? (A Selective Survey of Pade Approximation), n Proceedings of IDOMAT 98, International Series in Numerical Mathematics, Vol. 132, Birkhauser, Basel, 1999, pp. 159-174.

 

145) The Size of (q;q)n for q on the Unit Circle, Journal of Number Theory, 76(1999), 217-247.

 

146) Asymptotics Associated with Exponential Weights, (A.L. Levin and D.S. Lubinsky), International Maths Research Notices, 12(1999), 673-683.

 

147) On Converse Marcinkiewicz-Zygmund Inequalities in Lp, p > 1, Constr. Approx., 15(1999), 577-610.

 

148) Convergence of Product Integration Rules for Weights on the Whole Real Line II, in Hammerlin Memorial Volume (ed. R.P. Agarwal), World Scientific, Singapore, 1999, pp. 201-215.

 

149) Weighted Lebesgue Constants (DS Lubinsky and J Szabados), Constr. Approx. (Problem Section), 16(2000), 157-159.

 

150) Asymptotic Behaviour of Entire Functions with Positive Coefficients, Constr. Approx. (Problem Section), 16(2000), 313-316.

 

151) (C,1) Means of Orthonormal Expansions for Exponential Weights, (D.S. Lubinsky and D. Mache), J. Approx. Theory, 103(2000), 151-182.

 

152) On Mean Convergence of Lagrange Interpolation for General Arrays, J. Approx. Theory, 104(2000), 220-225.

 

153) On the Maximum and Minimum Modulus of Rational Functions, Canad. Math. J., 52(2000), 815-832.

 

154) Asymptotics of Orthogonal Polynomials: some old, some new, some identities, Acta Applicandae Mathematicae, 61(2000), 207-256.

 

155) Lp Markov-Bernstein Inequalities on Arcs of the Circle, J. Approx. Theory, 108(2001), 1-17.

 

156) Diagonal Pade Sequences for functions Meromorphic in the Unit Ball Approximate Well Near 0, in Trends in Approximation Theory, (eds. K. Kopotun, T. Lyche, M. Neamtu), Vanderbilt University Press, Nashville, 2001, pp. 297-305.

 

157) John Knopfmacher - A Mathematical Biography, Quaestiones Mathematicae, 24(2001), 262-262.

           

158) Large Sieve Estimates on Arcs of a Circle (L. Golinskii, D. Lubinsky, P. Nevai), J. Number Theory, 91(2001), 206-229.

           

159) Sharp Estimates for the Maximum over Minimum Modulus of Rational Functions, Proc. Amer. Math. Soc., 129(2001), 3519-3529.

           

160) Convergence vs. Correspondence for Sequences of Rational Functions (L. Lorentzen and D.S. Lubinsky), Indagationes Mathematicae, 12(2001), 213-219.

           

161) Green Equilibrium Measures and Representations of an External Field (A.L. Levin and D.S. Lubinsky), J. Approx. Theory, 113(2001), 298-323.

           

162) Weighted Maximum over Minimum Modulus of Polynomials, applied to Ray Sequences of Pade  Approximants, Constructive Approximation, 18(2002), 285-308.

           

163) Mathematica Evidence that Ramanujan kills Baker-Gammel-Wills, (A. Knopfmacher and D.S. Lubinsky), Applied Mathematics and Computation, 128(2002), 289-302.

           

164) Converse Quadrature Sum Inequalities for Freud Weights II (D.S. Lubinsky and G. Mastroianni), Acta Math. Hungar., 96(2002), 147-168.

           

165) On Mean Convergence of Trigonometric Interpolants, and Their Unit Circle Analogues, for General Arrays, Analysis, 22(2002), 97-107.

 

166) L_p Markov-Bernstein Inequalities on All Arcs of the Circle (C.K. Kobindarajah and D.S. Lubinsky,  Journal of Approximation Theory, 116(2002), 343-368.

 

167) (C,1) Means of Orthonormal Expansions for Exponential Weights (D.S. Lubinsky and H.P. Mashele), Journal of Computational and Applied Mathematics, 145(2002), 387-405.

168) Some Polynomial Problems arising from Pade Approximation, Rendiconti del Circolo Matematico di Palermo, Series II, Suppl. 68(2002), 49-63.

 

169) A Taste of Erdos on Interpolation, (IN) Paul Erdos and his Mathematics, I., Bolyai Society Math Studies, II, Bolyai Society, Budapest, 2002, pp. 423-454.

 

170) Curious q-Series as Counterexamples in Pade Approximation, (in) Advanced Problems in Constructive Approximation (eds. M.D. Buhmann and D.H. Mache), ISNM Vol. 142, Birkhauser, Basel, 2002, pp. 109-128.

 

171) On Weighted Mean Convergence of Lagrange Interpolation for General Arrays, Journal of Approximation Theory, 118(2002), 153-162.

                                               

172) Rogers-Ramanujan and the Baker-Gammel-Wills (Pade) Conjecture, Annals of Mathematics, 157(2003), 847-889.

           

173) Quadrature Sums and Lagrange Interpolation for General Exponential Weights, (D. Kubayi and D.S. Lubinsky), Journal of Computational and Applied Mathematics, 151(2003), 383-414.

 

174) Asymptotics for Entropy Integrals Associated with Exponential Weights, (Eli Levin and D. S. Lubinsky), Journal of Computational and Applied Mathematics, 156(2003), 265-283.

 

175) Best Approximation and Interpolation of (1+ax^2)^-1 and its Transforms, Journal of Approximation Theory, 125(2003), 106-115.


176) Smallest Eigenvalues of Hankel Matrices for Exponential Weights, (Y. Chen and D.S. Lubinsky), Journal of Mathematical Analysis and Applications, 293(2004), 476-495.

177) A Hilbert Transform Representation of the Error in Lagrange Interpolation, (D. Kubayi and D.S. Lubinsky), J. Approx. Theory, 129(2004), 94-100.

178) Towards a Representation of the Bernstein Constant, (IN) Advances in Constructive Approximation, (M. Neamtu and E.B. Saff, eds.), Nashboro Press, Nashville, 2004, pp. 325-332.

179) Orthogonal Polynomials for Exponential Weights x^2rho exp(-2Q(x)), (Eli Levin and D. S. Lubinsky), (IN) Advances in Constructive Approximation, (M. Neamtu and E.B. Saff, eds.), Nashboro Press, Nashville, 2004, pp. 291-298.

 

180) Marcinkiewicz-Zygmund Inequalities for all Arcs of the Circle, (C.K. Kobindarajah and D.S. Lubinsky), (IN) Advances in Constructive Approximation, (M. Neamtu and E.B. Saff, eds.), Nashboro Press, Nashville, 2004, pp. 291-298.


181) Some Explicit Biorthogonal Polynomials (D.S. Lubinsky and H. Stahl), (IN) Approximation Theory XI, (C.K. Chui, M. Neamtu, L. Schumaker, eds.),  Nashboro Press, Nashville, 2005, pp. 279-285.

 

182) Asymptotics for Sobolev Orthogonal Polynomials for Exponential Weights, (J.S. Geronimo, D.S. Lubinsky, and F. Marcellan), Constructive Approximation, 22(2005), 309-346.

 

183) Orthogonal Polynomials for Exponential Weights x^(2 rho)exp(-2Q(x)) on [0,d), (Eli Levin and D.S. Lubinsky), Journal of Approximation Theory, 134(2005), 199-256.


184) Condition Numbers of Hankel Matrices for Exponential Weights, Journal of Mathematical Analysis and Applications,  314(2006), 266-285.

185)  Orthogonal Polynomials for Exponential Weights x^(2 rho)exp(-2Q(x)) on [0,d), II, (Eli Levin and D.S. Lubinsky), Journal of Approximation Theory, 139(2006), 107-143.

186) Series Representations for Best Approximating Entire Functions of Exponential Type, (in) Wavelets and Splines - Athens 2005, (G. Chen and M-J Lai, eds.), Nashboro Press,  2006, pp. 355-364.

 

187) Jackson and Bernstein Theorems for the Weight exp(-|x|) on R, Israel Journal of Mathematics, 153(2006), 193-220.

188) Bernstein's Weighted Approximation on R still has Problems, Electronic Transactions on Numerical Analysis, 25(2006), 166-177.


189)  Weights whose Biorthogonal Polynomials admit a Rodrigues Formula. (D.S. Lubinsky and I. Soran), Journal of Math. Analysis and Applications, 324(2006), 805-819.


190) Which Weights on R admit Jackson Theorems?, Israel Journal of Mathematics, 155(2006), 253-280.

191) Zero Distribution of Muntz Extremal Polynomials in Lp[0,1] (D.S. Lubinsky and Ed Saff), Proceedings of the American Mathematical Society, 135(2007), 427-435.

192)  On Recurrence Coefficients for Rapidly Decreasing Exponential Weights (Eli Levin and Doron S Lubinsky),  Journal of Approximation Theory, 144(2007), 260-281.

193)  A Survey of Weighted Polynomial Approximation with Exponential Weights, Surveys in Approximation Theory, 3(2007), 1-105.

194) Asymptotics of Derivatives of Orthogonal Polynomials on the Unit Circle, Journal of Approximation Theory, 145(2007), 122-127.

195) On the Bernstein Constants of Polynomial Approximation, Constructive Approximation, 25(2007), 303-366.

196) Orthogonal Polynomials for Weights Close to Indeterminacy (Eli Levin and Doron S Lubinsky), J. Approximation Theory, 147(2007), 129-168.

197)
Universality Limits Involving Orthogonal Polynomials on the Unit Circle (Eli Levin and Doron S Lubinsky), Computational Methods and Function Theory, 7(2007), 543-561.

198) Applications of Universality Limits to Zeros and Reproducing Kernels of Orthogonal Polynomials (Eli Levin and D.S. Lubinsky), Journal of Approximation Theory, 150(2008), 69-95.

199) Large Sieve Inequalities and the Mahler Measure of the Fekete Polynomials, (Tamas Erdelyi and D.S. Lubinsky), Journal of the Canadian Mathematical Society, 59(2007), 730-741.

200)  Asymptotics of Derivatives of Orthogonal Polynomials on the Real Line (Eli Levin and Doron S Lubinsky),  Acta Math. Hungar, 118(2008), 115-127.

201) Mutually Regular Measures have Similar Universality Limits, (in) Proceedings of  Twelfth Texas Conference on Approximation Theory, (eds. M. Neamtu and L. Schumaker), Nashboro Press, Nashville, 2008, pp. 256-269.

202)  Best Approximating Entire Functions to |x|^alpha in L2 (Michael Ganzburg and Doron Lubinsky), Contemporary Mathematics, 455(2008), 93-107.

203) Biorthogonal Polynomials and Numerical Integration Formulas for Infinite Intervals (Avram Sidi and D.S. Lubinsky),  Journal of Numerical and Industrial and Applied Mathematics, 2(2007), 209-226.

204) A New Approach to Universality Limits at the Edge of the Spectrum, Contemporary Mathematics (60th birthday of Percy Deift), 458(2008), 281-290.

205) Universality limits in the bulk for varying measures. (Eli Levin and Doron Lubinsky), Advances in Mathematics, 219(2008), 743-779.

206) Universality Limits at the Hard Edge of the Spectrum for Measures with Compact Support, International Mathematics Research Notices, (2008) 2008: rnn099-39.

207) Universality limits in the Bulk for Arbitrary Measures on a Compact Set,  J. d' Analyse de Mathematique, 106(2008), 373-394.

208)
Zero Distribution of Composite Polynomials, and Polynomials Biorthogonal to Exponentials (D S Lubinsky and Avram Sidi), Constructive Approximation, 28(2008), 343-371.

209) Which Weights on R admit  Lp Jackson Theorems?, Rocky Mountain Journal of Mathematics, 39(2009), 165-192.

210) Universality Limits for Exponential Weights (Eli Levin and D.S. Lubinsky), Constructive Approximation, 29(2009), 247-275.

211) Explicit Orthogonal Polynomials for Reciprocal Polynomial Weights in (-infinity,infinity), Proc. Amer. Math. Soc.137 (2009), 2317-2327.

212) Universality Limits for Random Matrices and de Branges Spaces of Entire Functions, Journal of Functional Analysis, 256(2009), 3688-3729.

213) On the Airy Reproducing Kernel, and Associated Sampling Series and Quadrature Formula  (Eli Levin and Doron Lubinsky),  Integral Equations and Operator Theory, 63(2009), 427-438.

214) A New Approach to Universality Limits Involving Orthogonal Polynomials, Annals of Mathematics, 170(2009), 915-939.

215) Some Recent Methods for Establishing Universality Limits,  Journal of Nonlinear Analysis, 71(2009), e2750-e2765.


216) Orthogonal Polynomials and Pade Approximants for reciprocal Polynomial Weights, Journal of Approximation Theory, 162(2010), 298-302..

217). Positive Interpolatory Quadrature Generated by Biorthogonal Polynomials (D Lubinsky and A. Sidi), Mathematics of Computation, 79(2010), 845-855.

218) Universality Type Limits for Bergman Orthogonal Polynomials, Computational Methods and Function Theory, 10(2010), 135-154. 

219) Some Equivalent formulations of Universality Limits in the Bulk, (Eli Levin and Doron Lubinsky), Contemporary Mathematics, 507(2010),  177-188.

220) Applications of New Geronimus Type Identities for Real Orthogonal Polynomials, Proc. Amer. Math. Soc. 138 (2010), 2125-2134.

221)
Universality at the Soft Edge of the Spectrum via the Theory of Entire Functions (Eli Levin and Doron Lubinsky), International Maths Research Notices (2010) doi: 10.1093/imrn/rnq185 , 13(2011), 3006-3070.

222) Old and New Geronimus Type Identities for Real Orthogonal Polynomials,  Jaen Journal of Approximation Theory, 2(2010), 289-301. 

223) New Integral Identities for Orthogonal Polynomials on the Real Line, Proceedings of the American Mathematical Society, 139 (2011) 1743-1750

224)  Universality in the Bulk holds close to Given Points, Journal of Approximation Theory, 163(2011), 904-922.

225) An Operator Associated with de Branges Spaces and Universality Limits, Contemporary Mathematics, 538(2011), 213-229.

226)
The Size of the Set of mu irregular points for a compactly supported measure (Eli Levin and Doron Lubinsky), Acta Math Hungarica, 133(2011), 242-250.

227) A Maximal Function Approach to Christoffel Functions and Nevai's Operators, Constructive Approximation, 34(2011), 357-369.

228) On Christoffel Functions and Related Quantities for Compactly Supported Measures, (in) Approximation Theory XIII: San Antonio 2010, (eds. M. Neamtu and L. Schumaker), Springer, NY, 2011, pp. 207-220. 

229)  The Degree of Shape Preserving Weighted Polynomial Approximation (Dany Leviatan and Doron Lubinsky), Journal of Approximation Theory, 164(2012), 218-228.

230) 
Averages of Ratios of Christoffel Functions for Compactly Supported Measures, in East Journal on Approximations, 17(2011), 159-170.

231) Bulk Universality Holds in Measure for Compactly  Supported  Measures, J d'Analyse de Mathematique, 116(2012), 219-253. 

232) Christoffel Functions and Universality Limits for Orthogonal Rational Functions (Karl Deckers and Doron Lubinsky), Analysis and Applications, 3(2012), 271-294.

233) Bulk Universality Holds Pointwise in the Mean, for Compactly Supported Measures, Michigan Mathematical Journal, 61(2012), 631-649.

234)  Discrete Beta Ensembles Based on Gauss Type Quadratures, Contemporary Mathematics, 578(2012), 143-163. (Proceedings of OPSFA 11)

235) How Poles of Orthogonal Rational Functions affect Their Christoffel Functions (Karl Deckers and Doron Lubinsky), Journal of Approximation Theory, 164(2012), 1184-1199. 

236) Christoffel Functions and Universality in the Bulk for Multivariate Orthogonal Polynomials (Andras Kroo and Doron Lubinsky),  Canadian Journal of Mathematics, 65(2013), 600-620.

237) Polynomials Biorthogonal to Dilations of Measures, and Their Asymptotics (Avram Sidi and Doron Lubinsky), Journal of Mathematical Analysis and Applications, 397(2013), 91-108.

238) Universality Limits Involving Orthogonal Polynomials on Arcs of the Unit Circle (D. Lubinsky and V. Nguyen),  Computational methods and Function Theory, 13(2013), 91-106.

239)  A Variational Principle for Correlation Functions for Unitary Ensembles, with Applications, Analysis and PDE, 6(2013), 109-130.

240) Christoffel Functions and Universality on the Boundary of the Ball (Andras Kroo and Doron Lubinsky), Acta Math. Hungarica, 140(2013), 117-133.

241) Orthogonal Dirichlet Polynomials with Arctan Density, Journal of Approximation Theory, 177(2014), 43-56.

242) Reflections on the Baker-Gammel-Wills (Pade) Conjecture,(in) Analytic Number Theory, Approximation Theory, and Special Functions (G. Milovanovic, M. Rassias, eds.), Springer, NY, 2014, pp. 561-571.

243) Discrete Circular Beta Ensembles, Random Matrices: Theory and Applications, 2(2013), no. 3, 1350004, 20 pp.

244)
Uniform Mean Value Estimates and Discrete Hilbert Inequalties via Orthogonal Dirichlet Series,  Acta Math Hungarica, 143(2014), 422-438.

245) On Sharp Constants in Marcinkiewicz-Zygmund and Plancherel-Polya Inequalities, Proc. Amer. Math. Soc., 142(2014), 3575-3584.

246)
Weighted Markov-Bernstein Inequalities for Entire Functions of Exponential Type, Publications de l'Institut Mathematique, 96(110)(2014), 181-192.

247) Asymptotic Zero Distribution of Biorthogonal Polynomials, (Doron Lubinsky, Avram Sidi, Herbert Stahl), Journal of Approximation Theory, 190(2015), 26-49.

248) Lp Christoffel Functions, Lp Universality, and Paley-Wiener Spaces (Eli Levin and Doron Lubinsky), Journal d'Analyse Mathematique, 125(2015), 243-283.

249)
Orthogonal Dirichlet Polynomials with Laguerre Weight, Journal of Approximation Theory, 194(2015), 146-156.

250) Asymptotic Behavior of Nikolskii Constants for Polynomials on the Unit Circle, (Eli Levin, Doron Lubinsky), Computational Methods and Function Theory, 15(2015), 459-468.

251)  Universality Limits via "old style" analysis, (in) Random Matrix Theory, Interacting Particle Systems, and Integrable Systems, (eds. P. Deift and P. Forrester), MSRI Proceedings Vol. 65, Cambridge University Press, New York, 2014, pp. 277-292.

252) Expected Number of Real Zeros for Random Linear Combinations of Orthogonal Polynomials (D. Lubinsky, I. Pritsker, X.Xie), Proceedings of the Amer. Math. Soc., 144(2016), 1631-1642.

253)
Scaling Limits for Mixed Kernels, Constructive Approximation, 43(2016), 311-336.

254) Ed Saff at Three Score and Ten, Contemporary Mathematics, 661(2016), 1-27.
142 (2014), 3575-3584

255) Universality Limits Involving Orthogonal Polynomials on a Smooth Closed Contour, (Eli Levin, Doron Lubinsky), Contemporary Mathematics, 667(2016), 187-197.

256)
Sobolev Orthogonal Polynomials on the Unit Ball via Outward Normal Derivatives (A.M. Delgado, L. Fernandez, D. Lubinsky, T. E. Perez, M. A. Pinar), Jour. Math. Anal. Applns., 440(2016), 716-740.

257)
Gaussian Fluctuations of Eigenvalues of Random Hermitian Matrices Associated with Fixed and Varying Weights, Random Matrices: Theory and Applications, 5(2016), No. 3, 1650009, 31 pages,
 10.1142/S2010326316500009X


258)
An Update on Local Universality Limits for Correlation Functions Generated by Unitary Ensembles, SIGMA, 12(2016), 078, 36 pages.

259)
Quadrature Identities for Interlacing and Orthogonal Polynomials, Proceedings of the Amer. Math. Soc., 144(2016), 4819-4829. 

260)
Universality in Measure for Varying Weights (Eli Levin, Doron Lubinsky), Michigan Math. Journal, 65(2016), 833-854.

261) Simultaneous Gaussian Quadrature for Angelesco Systems (Doron Lubinsky and Walter Van Assche), Jaen Journal on Approximation, 8(2016), 113-149.

262) On an asymptotic equality for reproducing kernels and sums of squares of orthonormal polynomials (Aleks Ignjatovic, D. Lubinsky), (in) Progress in Approximation Theory, eds. N. Govil, R. Mohapatra, M. Qazi, G. Schmeisser, Springer, Berlin, 2017, pp. 129-144.

263) Scaling Limits of Polynomials and Entire Functions of Exponential Type, (in) Approximation Theory XV (ed. G.E. Fasshauer, L.L. Schumaker), Springer, new York, 2017, pp. 219-238.

264) On Marcinkiewicz-Zygmund Inequalities at Jacobi Zeros and Their Bessel Function Cousins, Contemporary Mathematics, 669(2017), 223-245.

265) Expected Number of Real Zeros for Random Orthogonal Polynomials (D. Lubinsky, I. Pritsker, X.Xie), Math. Proc. Cambridge Philosophical Society, 164(2018), 47-66.

266) Exact Interpolation, Spurious Poles, and Uniform Convergence of Multipoint Padé Approximants, Sbornik Mathematics (Russian), 209(2018), 150-167, https://doi.org/10.4213/sm8875
English version in 209(2018), 432-448.

267)
Pointwise Asymptotics for Orthonormal Polynomials at the Endpoints of the Interval via Universality, International Maths Research Notices, 2020(2020), 961-982, https://doi.org/10.1093/imrn/rny042

268) Mean Convergence of Interpolation at Zeros of Airy Functions, (in) Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan, Vol. 2, eds. J. Dick, F. Kuo, H. Wozniakowski, Springer International, Switzerland, 2019, pp. 889-909.

269) On Uniform Convergence of Diagonal Multipoint Padé Approximants For Entire Functions, Constructive Approximation, 49(2019), 149-174.

270) Local Asymptotics for Orthonormal Polynomials in the Interior of the Support via Universality, Proc. of the Amer. Math. Soc., 147(2019), 3877-3886.

271) The Spurious Side of Diagonal Multipoint Padé Approximation, (in) Topics in Classical and Modern Analysis, in memory of Y. Hu (eds. M. Abell et al), Birkhauser, Basel, 2019, pp. 241-259.

272) A Note on Orthogonal Dirichlet Polynomials with Rational Weights, Dolomites Research Notes on Approximation, 12(2019), 10-15.

273) Orthogonal Dirichlet Polynomials with Constant Weight, Applicable Analysis and Discrete Mathematics, 13(2019), 697-710.

274) Local Limits for Orthogonal Polynomials for Varying Weights via Universality (Eli Levin and Doron Lubinsky), Journal of Approximation Theory, 254(2020), 105394.

275) On Marcinkiewicz-Zygmund Inequalities at Hermite Zeros and Their Airy Function Cousins, (in) Trigonometric Sums and Their Applications (eds. A. Raigorodskii, M. Rassias), Springer, Zurich, 2020, pp. 119-146.

276) Local Asymptotics for Orthonormal Polynomials on the Unit Circle Via Universality, Journal d'Analyse Math., 141(2020), 285-304. (See posted preprints for correction to proof of two lemmas in published version).

277) Variance of Real Zeros of Random Orthogonal Polynomials (D. Lubinsky and I. Pritsker), Journal of Mathematical Analysis and Applications, 498(2021), 124954, 32 pages

278)
On Eigenvalue Distribution of Varying Hankel and Toeplitz Matrices with Entries of Power Growth or Decay (G. Kowalsky and D. Lubinsky), (in) Approximation Theory XVI, eds. G. Fasshauer et al, Springer, Switzerland, 2021, pp. 153-170.

279) On Baker's Patchwork Conjecture for Diagonal Pade Approximants, Constructive Approximation, 53(2021), 545-567.

280)  On Lower Bounds for Erdos Szekeres Products (C. Billsborough, M. Freedman, S. Hart, G. Kowalsky, D. Lubinsky, A. Pomeranz, A. Sammel), Proceedings of the Amer. Math. Soc., 149(2021), 4233-4246.

281
The Effect of Adding Endpoint Masspoints on Bounds for Orthogonal Polynomials, Dolomites Research Notes on Approximation, 14(2021), 42-55.

282) Some Biorthogonal Polynomials arising in Numerical Analysis and Approximation Theory (D. Lubinsky and A. Sidi), J. Comp. Appl. Math., 403(2022)113842.


Papers Accepted
283) Bounds on Orthogonal Polynomials and Separation of Their Zeros (Eli Levin and Doron Lubinsky), to appear in Journal of Spectral Theory.

284) Orthogonal Dirichlet Polynomials, to appear in "Approximation and Computation in Science and Engineering" (eds. N. Daras, T.M. Rassias), Springer, 2021.

285) On Zeros, Bounds, and Asymptotics for Orthogonal Polynomials on the Unit Circle, to appear in Math. Sbornik.

286) On Average Growth of Erdos- Szekeres Polynomials (C. Billsborough, S. Gold, E.Linder, D. Lubinsky, Jiahui Yu) , to appear in Acta Math. Hungarica.

287) Distribution of Eigenvalues of Toeplitz Matrices with Smooth Entries, to appear in Linear Algebra and its Applications.

Papers Submitted
288) Variance of Real Zeros of Random Orthogonal Polynomials for Varying and Exponential Weights (D. Lubinsky and I. Pritsker), submitted for consideration for pulbication.

CONFERENCES: (A talk was presented at each of the conferences listed):

S.A.M.S. (South African Math. Soc.) Conference, Pretoria, October, 1982.

S.A.N.U.M. (South African Numerical Maths. Soc.) Conference, Durban, July 1983.

S.A.M.S. Conference, Johannesburg, October, 1983.

S.A.N.U.M. Conference, Ballito, July, 1984.

Laguerre Symposium, Bar-le-duc, France, October, 1984.

S.A.N.U.M. Conference, Umhlanga Rocks, July 1985.

Fifth Texas Symposium on Approximation Theory, College Station Texas, January 1986.

South East Approximators Conference, Tampa, Florida, April, 1986.

Constructive Function Theory 86, Edmonton, Canada, July, 1986.

S.A.M.S. Conference, Johannesburg, November 1986.

S.A.N.U.M. Conference, Umhlanga Rocks, July 1987.

Conference on Constructive Methods in Complex Analysis, Oberwolfach, Germany, August 1987.

S.A.M.S. Conference, Stellenbosch, November 1987 (Plenary Speaker).

South East Approximators Conference, Atlanta, Georgia, USA, April 1988.

S.A.N.U.M. Conference, Umhlanga Rocks, July 1988.

S.A.M.S. Conference, Kruger Park, November, 1988.

Sixth Texas Symposium on Approximation Theory, College Station, Texas, January, 1989.

Sixtieth Birthday of Varga Conference (Approximation Theory & Numerical Linear Algebra), Kent State University, Kent State, March-April, 1989.

South East Approximators Conference, Auburn, Alabama, April 1989.

NATO Orthogonal Polynomials Conference, Columbus, (Plenary Speaker), May-June, 1989.

S.A.N.U.M. Conference, Umhlanga Rocks, (South African Plenary Speaker), July 1989.

S.A.M.S. Conference, Bloemfontein, October 1989.

Symposium on Mechanics and Applied Mathematics, Capetown, January 1990.

U.S.-U.S.S.R. Conference on Approximation Theory, Tampa, FL (Plenary Speaker), March 1990.

Third International Conference on Orthogonal Polynomials & Their Applications, Erice, Sicily, (Plenary Speaker), June 1990.

S.A.N.U.M. Conference, San Lameer, July, 1990.

S.A.M.S. Conference, Mmabatho, November 1990.

Constructive Theory of Functions - 1991 , Varna, Bulgaria, June 1991.

S.A.N.U.M. Conference, Umhlanga Rocks, July, 1991.

S.A.M.S. Conference, Pretoria, October 1991.

Seventh Texas Symposium on Approximation Theory, Austin, Texas, January 1992.

S.A.N.U.M. Conference, Durban, July 1992.

Second International Conference on Functional Analysis and Approximation Theory, Marathea, Italy, September 1992 (Plenary Speaker).

Numerical Integration Conference, Oberwolfach, Germany, November 1992.

International Conference in Abstract Analysis, Kruger Park, April 1993 (Plenary Speaker).

80th Birthday Conference for P. Erdos, Budapest, Hungary, May 1993.

Nonlinear Numerical Methods and Rational Approximation, Antwerp, Belgium, September 1993 (Plenary Speaker).

S.A.N.U.M. Conference, San Lameer, July 1993.

Special Semester in Approximation Theory, Technion, Haifa, Israel, April 1994.

Second Conference on Function Spaces, Edwardsville, Illinois, May 1994 (Plenary Speaker).

S.A.M.S. Conference, Port Elizabeth, October 1994.

AMS Joint Meeting, San Francisco, January 1995.

Eighth Texas Symposium on Approximation Theory, College Station, Texas, January, 1995 (Plenary Speaker).

Oberwolfach Conference on Constructive Methods in Complex Function Theory, Oberwolfach, March 1995

International Conference on Approximation Theory & Function Series, Budapest, August 1995 (Plenary Speaker)

S.A.M.S. Conference, Durban-Westville, October 1995.

Seventh International Congress on Computational & Applied Maths, Leuven, Belgium, July 1996

International Conference on Approximation and Optimization, Cluj-Napoca, July/August 1996 (Plenary speaker)

S.A.M.S. Conference, University of the Western Cape, November, 1996.

S.A.M.S.-A.M.S.-L.M.S. Joint Conference, Pretoria, June, 1997. (Plenary Speaker)

Eighth Symposium on Orthogonal Polynomials and their Applications, Seville, Spain, September 1997. (Plenary Speaker)

IDOMAT 98: International Dortmund Meeting on Approximation Theory, Dortmund, February, 1998. (Plenary Speaker)

ICRA99: Int’l Conference on Rational Approximation, Belgium, June 1999. (Plenary Speaker)

Conference in Memory of P. Erdos, Mathematical Institute of the Hungarian Academy of Sciences, Budapest, July 1999 (Plenary Speaker).

Pan African Congress of Mathematics, Capetown, January 2000.

Trends in Approximation Theory - 2000, Nashville, Tennessee, USA, May 2000.

4th International Conference on Functional Analysis and Approximation Theory, Marathea, Italy, September 2000 (Plenary Speaker).

Computational Methods and Function Theory - Aveiro, Portugal, June 2001 (Plenary Speaker)

IDOMAT 2001: International Dortmund Meeting on Approximation Theory, Dortmund, August, 2001. (Plenary Speaker)

Tenth Southeastern Approximation Theory Conference, Athens, Georgia, March 2002 (Plenary Speaker)

Conference in Honour of Hans Wallin, Umea, Sweden, June 2002 (Plenary Speaker)
Advances in Constructive Approximation, Nashville, May, 2003.

Joint RSME-AMS Conference, Seville, June 2003, (Session Invited Speaker).

SIAM conference "Spectral Theory and Inverse Spectral Theory for Jacobi Operators", June 8-12, 2003 (One of 40 plenary speakers).
Eleventh International Conference in Approximation Theory, Gatlinburg, May, 2004.

Constructive Functions Tech-04 (in honor of Ed Saff), Atlanta, November, 2004.
AMS Annual Meeting, Atlanta, January 5-8, 2005.
International Conference on Interaction Between Wavelets and Splines (in honor of Charles Chui), Athens-GA, May 2005.
AMS Sectional Meeting, Johnson City, TN, October 14-16, 2005.
Third International Conference on Complex Analysis and Dynamical Systems, Nahariya, Israel, January 2006.
AMS Sectional Meeting, Miami, FL, April 2, 2006
Conference in Honor of Percy Deift's 60th Birthday, Courant Institute, New York University, May, 2006. (One of 40 plenary speakers).
Twelfth International Conference in Approximation Theory, San Antonio, March, 2007.
SIAM conference "Interactions of Random Matrix Theory, Integrable Systems,  and Stochastic Processes, Snowbird, Utah, June 24-28, 2007" (One of 35 plenary speakers).

Banff International Research Station Workshop "Modern Approaches in Asymptotics of Polynomials", Banff, Canada, November 11 to 16 (one of 29 plenary speakers allotted 30 minutes).

APPOPT 2008, San Andres, Colombia, March 2008, plenary speaker.
The Mathematical Interests of Peter Borwein, Simon Fraser University, Canada, May 2008.

Constructive Theory of Functions, CTF-08, Campos do Jordao, Brazil, June 3-9 2008, plenary speaker.

WCNA 2008, World Conference of Nonlinear Analysts, Orlando, Florida, July 2008.
Complex Analysis and Dynamical Systems, Nahariya, Israel, May 2009.

Tenth Conference on Orthogonal Polynomials, Special Functions and Applications, Leuven, Belgium, July 2009, plenary speaker.
Twelfth International Conference in Approximation Theory, San Antonio, Texas, March 2010.
26th Southeastern Analysis Meeting, Atlanta, GA, March 2010.

Jaen Conference on Approximation Theory, Ubeda, Spain, July 2010, plenary speaker.
African Institute of Mathematical Sciences "Diversity in Mathematics", Capetown, July 2010, plenary speaker.

Banff International Research Station Workshop "New Perspectives in Univariate and Multivariate Orthogonal Polynomials", Banff, Canada, October 10-15, 2010. 

MSRI Workshop "Random Matrix Theory and its Applications II", Berkeley, December 2010, invited speaker.

ATHA Workshop, Kennesaw State University, Kennesaw, Georgia, May 14-15, 2011.
International Symposium on Approximation Theory (70th Birthday of Larry  Schumaker), Nashville, Tennesee, May 17-20, 2011, plenary speaker.
Orthogonal Polynomials and Special Functions 11 (OPSFA 11), Madrid, Spain, August 28 - Sept. 2, 2011, plenary speaker.
ICREA Conference on  Approximation Theory and Fourier Analysis, CRM, Barcelona, December 12 - 16, 2011, plenary speaker.
New Trends in Approximation Theory, Ein Gedi, Israel, January 4-7, 2012, plenary speaker.
International Symposium on Orthogonal Polynomials and Special Functions - A Complex Analytic Perspective, Copenhagen, June 11-15, 2012, plenary speaker.
CADS VI, Complex Analysis and Dynamical Systems, Nahariya, Israel, May 2013.
PRCM, Pacific Rim Conference on Mathematics, Sapporo, Japan, July 1-5, 2013, plenary speaker.
SIAM 2013 Annual Meeting, San Diego, July 8-12, 2013: two minisymposium talks.
CBMS Conference: Uncertainty Principle in Harmonic Analysis: Gap and Type Problems,Clemson University, August 12-16, 2013, plenary speaker.
AMS-IMU Joint Conference, Tel Aviv, Israel, June 16-20, 2014, special session talk.
ICAM (Internatuional Conference on Applied Maths, in honor of Roderick Wong's 70th birthday), Hong Kong, December 1-5, invited talk.
Orthogonal Polynomials and Special Functions 13 (OPSFA13), Washington DC, June 2015, special session talk.
Asymptotics in Integrable Systems, Random Matrices and Random Processes and Universality (in honor of Percy Deift's 70th birthday), Montreal, June 2015, plenary speaker.
Workshop on Orthogonal and Multiple Orthogonal Polynomials, Bannf-Oaxaca, 9-14 August 2015, invited speaker.

SEAM 2016 — 32nd Southeastern Analysis Meeting - Tampa Florida, March 13-15, Plenary Speaker.
15th International Conference on Approximation Theory, San Antonio, May 22-25, 2016, Plenary Speaker.
Frontiers in Mathematical Physics, Fields Institute/CRM, In honor of Barry Simon's 70th birthday, Montreal, Aug 28 - Sept. 1, 2016, Plenary Speaker

International Conference in Approximation Theory, Georgia Southern University, May 8-11, 2017, Plenary Speaker.
International Conference on Special Functions: Theory, Computation, and Applications 2017, Hong Kong, June 5-9, 2017, Plenary Speaker
Analysis, Approximation Theory, Operator Theory and their InteractionsMarch 2018, Columbus, Ohio, Plenary Speaker.

Approximation Theory 16, May 2019, Nashville, Tennessee.

SIAM 2020 Annual Meeting: AN20: MS: Orthogonal Polynomials, Random Matrices and Asymptotic Methods, contributed talk (via Zoom).
Gonchar-Vitushkin Online Conference, October 5-6, 2020, Moscow, Russia, plenary speaker (via Zoom).

Discretization and Related Questions, March 9-13, 2021, Lomonosov Moscow State University, Russia, invited speaker (via Zoom).

March 13-15, 2016, Tampa, Florida, USA
Invited Lecture Series
Frontier Series Lectures (3 Lectures), College Station, Texas, February 28 - March 2, 2006.

Recent Seminars

Princeton Institute for Advanced Studies, November 20, 2006: "A New Approach to Universality Limits involving Orthogonal Polynomials"
Courant Institute, March 23, 2007: "A New Approach to Universality Limits involving Orthogonal Polynomials"
Ohio State University, Columbus, April 1, 2008: "Universality Limits via Classical Complex Analysis"
California Institute of Technology, May 21, 2008: "Universality Limits for Random Matrices via Classical Complex Analysis"

Oklahoma State University, Stillwater, and Vanderbilt University, Nashville, November 2009, "Universality Limits, Orthogonal Polynomials, and de Branges Spaces".
Witwatersrand University, July 2010, "Random Matrices".

Auburn University, April 2012, "From Orthogonal Polynomials to Random Matrices".

Hokkaido University, Japan, July 2013, Potential Theory in the Complex Plane and Polynomials.
Columbus State University, Columbus, GA, November 4, 2013, From Orthogonal Polynomials to Random Matrices.
Vanderbilt University, Nashville, November 21, 2013, Pushing Polynomial Reproducing Kernels to Their
Nonpolynomial Limits.

Oklahoma State University, Stillwater, September 18, 2014, On those kissing cousins, polynomials and entire functions of exponential type.

Auburn University, March 2017,  Interpolation by Polynomial and Rational Functions.

University of Tennessee, Chattanooga, July 2019 REU Program, Continuing the Fraction.

University of Sao Paulo, Brazil, December 10, 2020, Home (google.com) Universality limits from random matrices tell us a lot about orthogonal polynomials.