SELECTED
PRE/REPRINTS
(These are papers for which I have PDF files, in reverse
order. They are not the final form. As you know copyright restrictions
do not allow galleys or reprints to be placed on websites)
Paper
242. Analogue of a Zero Counting Lemma of Freud for Sums of
Exponentials (Avram Sidi and Doron Lubinsky), submitted for
consideration for publication.
Paper
241. Lp Christoffel Functions, Lp Universality, and Paley Wiener Spaces
(Eli Levin and Doron Lubinsky), submitted for consideration for
publication.
Paper 240. Christoffel Functions and Universality on the Boundary for
Multivariate Orthogonal Polynomials (Andras Kroo and Doron Lubinsky), manuscript.
Paper
239. Christoffel Functions and Universality in the Bulk for
Multivariate Orthogonal Polynomials (Andras Kroo and Doron Lubinsky), to appear in Canadian Journal of Mathematics.
Paper 238. Universality Limits via "old style" analysis, submitted for consideration
for publication.
Paper 237. Discrete Beta Ensembles Based on Gauss Type Quadratures, to appear in Contemporary Mathematics (Proceedings of OPSFA 11)
Paper 236. A Variational Principle for Correlation Functions for
Unitary Ensembles, with Applications, to appear in Analysis and PDE.
Paper 235. How Poles of Orthogonal Rational Functions affect Their Christoffel Functions (Karl Deckers and
Doron Lubinsky), to appear in Journal of Approximation Theory.
Paper 234. Bulk Universality Holds Pointwise in the Mean, for Compactly Supported Measures, to appear in Michigan Mathematical Journal.
Paper 233. Polynomials Biorthogonal to Dilations of Measures, and Their Asymptotics (Avram Sidi and Doron Lubinsky), to appear in Journal of Mathematical Analysis and Applications.
Paper 232. The Degree of Shape Preserving Weighted Polynomial Approximation (Dany Leviatan and D.S. Lubinsky), Journal of Approximation Theory, 164(2012), 218-228.
Paper 231. Christoffel Functions and
Universality Limits for Orthogonal Rational Functions (Karl Deckers and
Doron Lubinsky), to appear in Analysis and Applications.
Paper 230. Averages of Ratios of Christoffel
Functions for Compactly Supported Measures, East Journal of Approximations, 17(2011), 159-170.
Paper 229.
The Size of the Set of mu-Irregular Points of a Measure mu (Eli
Levin and Doron Lubinsky), Acta Math Hungarica, 133(2011), 242-250.
Paper 228. Old and New Geronimus Type Identities for Real Orthogonal Polynomials, Jaen Journal of Approximation Theory, 2(2010), 289-301.
Paper 227. New Integral Identities for Orthogonal Polynomial on the Real Line, Proceedings of the American Mathematical Society, 139
(2011)
1743-1750.
Paper 226. 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.
Paper 225. Bulk Universality Holds in
Measure for Compactly Supported Measures, to appear in Journal d"Analyse Math.
Paper 224. A Maximal Function Approach to Christoffel Functions and
Nevai's Operators, Constructive Approximation, 34(2011), 357-369.
Paper 223. An Operator Associated with de Branges Spaces and Universality Limits, Contemporary Mathematics, 538(2011), 213-229.
Paper 222. Universality in the Bulk holds close to Given Points, Journal of Approximation Theory, 163(2011), 904-922.
Paper 221. Applications of New
Geronimus Type Identities for Real Orthogonal Polynomials, Proc. Amer. Math. Soc.
138
(2010),
2125-2134.
Paper 220. Orthogonal Polynomials and Pade Approximants for reciprocal Polynomial Weights, Journal of Approximation Theory, 162(2010), 298-302.
Paper 219. Universality Type Limits for Bergman Orthogonal Polynomials, Computational Methods and Function Theory, 10(2010), 135-154.
Paper 218. Some Equivalent formulations of Universality Limits in the Bulk, (Eli Levin and Doron Lubinsky), Contemporary Mathematics, 507(2010), 177-188.
Paper 217. Positive Interpolatory Quadrature Generated by
Biorthogonal Polynomials (D Lubinsky and A. Sidi), Mathematics of Computation, 270(2010), 845-855
Paper 216. Some Recent Methods for Establishing Universality Limits, Journal of Nonlinear Analysis, 71(2009), e2750-e2765.
Paper 215. Universality Limits for Random Matrices and de Branges Spaces of Entire Functions, Journal of Functional Analysis, 256(2009), 3688-3729.
Paper 214. Explicit Orthogonal Polynomials for Reciprocal Polynomial Weights
in (-infinity,infinity), Proc. Amer. Math. Soc.137
(2009),
2317-2327.
Paper
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.
Paper 212.Universality at the Soft Edge of the Spectrum via
Classical Complex Analysis (Eli Levin and Doron S. Lubinsky), International Maths Research Notices (2010)
doi:
10.1093/imrn/rnq185
.
Paper 211. Universality Limits at the Hard Edge of the Spectrum for Measures with Compact Support,
International Mathematics Research Notices 2008 (2008): rnn099-39.
Paper 210. Universality Limits in the bulk
for varying measures (Eli Levin and Doron Lubinsky), Advances in Mathematics, 219(2008), 743-779.
Paper 209.
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.
Paper 208. Universality Limits in the Bulk for Arbitrary Measures
on a Compact Set, Journal d'Analyse Math., 106(2008), 373-394.
Paper 207. Universality Limits Involving Orthogonal Polynomials on the
Unit Circle (Eli Levin and Doron S Lubinsky), Computational Methods and Function Theory, 7(2007), 543-561.
Paper 206. 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.
Paper 205. Universality Limits for Exponential Weights (Eli Levin and
D.S. Lubinsky), Constructive Approximation, 29(2009), 247-275.
Paper 204. Zero Distribution of Composite Polynomials, and Polynomials
biorthogonal to Exponentials (D.S. Lubinsky and A. Sidi), Constructive Approximation, 28(2008), 343-371.
Paper 203. Biorthogonal Polynomials and Numerical Integration formulas
for infinite intervals (A. Sidi and D.S. Lubinsky), Journal of Numerical Analysis, Industrial and Applied Mathematics, 2(2007), 209-226.
Paper 202. A New
Approach to Universality at the Edge of the Spectrum, Contemporary
Mathematics (60th birthday of Percy Deift), 458(2008), 281-290.
Paper 201. Asymptotics of Derivatives of Orthogonal Polynomials on
the Real Line (Eli Levin and D.S. Lubinsky), Acta Math.
Hungar., 118(2008), 115-127.
Paper 200. A
Survey of Weighted Polynomial Approximation with Exponential Weights,
Surveys on Approximation Theory, 3(2007), 1-105.
Paper 199. A New Approach to Universality Limits Involving Orthogonal Polynomials, Annals of Mathematics, 170(2009), 915-939.
Paper 198. Which Weights on R admit Lp Jackson Theorems?, Rocky Mountain Journal of Mathematics, 39(2009), 165-192.
Paper 197.
Orthogonal Polynomials for Weights Close to Indeterminacy, (Eli Levin
and D.S. Lubinsky), Journal of Approximation Theory, 147(2007), 129-168.
Paper
196. Best Approximating Entire Functions to |x|^alpha in L2, (Michael
Ganzburg and D.S. Lubinsky), Contemporary Mathematics, 455(2008), 93-107.
Paper 195.
Asymptotics of Derivatives of Orthogonal Polynomials on the Unit
Circle, Journal of Approximation Theory, 145(2007), 122-127.
Paper 194. On
Recurrence Coefficients for Rapidly Decreasing Exponential Weights,
(Eli Levin and D.S. Lubinsky), Journal of Approximation
Theory, 144(2007), 260-281.
Paper 193.
Zero Distribution of Muntz Extremal Polynomials in Lp{0,1], (D.S.
Lubinsky and Ed Saff), Proceedings of the Amer. Math. Soc, 135(2007), 427-435.
Paper 192. On the Bernstein Constants of Polynomial Approximation, Constructive Approximation, 25(2007), 303-366.
Paper 191. Which Weights on R admit
Jackson Theorems?, Israel Journal of Mathematics, 155(2006), 253-280.
Paper 190. 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.
Paper 189. Weights whose
Biorthogonal Polynomials admit a Rodrigues Formula (Doron Lubinsky and
Ioana Soran), Journal of Mathematical Analysis and Applications,
324(2006), 805-819.
Paper
188. Bernstein's Weighted Approximation on R still has Problems, ETNA, 25(2006), 166-177.
Paper 187. Jackson and Bernstein Theorems for the Weight exp(-|x|)
on R, Israel Journal of Mathematics, 153(2006), 193-220..
Paper 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.
Paper
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.
Paper 184. Condition Numbers of Hankel Matrices for Exponential
Weights, Journal of Mathematical Analysis and Applications, 314(2006), 266-285.
Paper
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.
Paper 182. Asymptotics for Sobolev
Orthogonal
Polynomials for Exponential Weights, (J.S. Geronimo, D.S. Lubinsky, and
F.
Marcellan), Constructive Approximation, 22(2005), 309-346.
Paper 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.
Paper 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.
Paper 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.
Paper 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.
Paper
177. A Hilbert Transform Representation of the Error in Lagrange
Interpolation,
(D. Kubayi and D.S. Lubinsky), J. Approx. Theory, 129(2004).
Paper 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.
Paper 175. Best Approximation and Interpolation of (1+ax^2)^-1 and its
Transforms, Journal of Approximation Theory, 125(2003), 106-115.
Paper174. Asymptotics for
Entropy Integrals Associated
with
Exponential Weights, (Eli Levin and D. S. Lubinsky),
Journal of Computational and Applied Mathematics, 156(2003), 265-283.
Paper 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.
Paper
172. Rogers
-Ramanujan and the Baker-Gammel-Wills (Pade) Conjecture, Annals of
Math, 157(2003), 847-889
Paper 171. On Weighted
Mean Convergence of Lagrange Interpolation for General Arrays, Journal
of Approximation Theory, 118(2002), 153-162.
Paper 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.
Paper
169. A Taste of Erdos on Interpolation, (in) Paul Erdos and his
Mathematics, L. Bolyia Society Math. Studies II, Bolyai Society,
Budapest, 200, pp. 423-454.
Paper 168. Some Polynomial Problems Arising from Pade Approximation, Rendiconti del Circolo Matematico di Palermo, Series II, Suppl. 68(2002), 49-63.
Paper 167.
(C,1) Means of Orthonormal Expansions for Exponential Weights (DS
Lubinsky and HP Mashele), J. Comp. Appl. Maths., 145(2002),
343-368.
Paper 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.
Paper
165. On Mean Convergence of Trigonometric Interpolants, and Their Unit Circle
Analogues, for General Arrays, Analysis, 22(2002), 97-107.
Paper
164. Converse Quadrature Sum Inequalities for
Freud Weights II (D.S. Lubinsky and G. Mastroianni), Acta Math. Hungar., 96(2002), 147-168.
Paper 163. Mathematica
Evidence that Ramanujan kills Baker-Gammel-Wills, (A. Knopfmacher and
D.S. Lubinsky), Applied Mathematics and Computation, 128(2002), 289-302.
Paper 162. Weighted Maximum
over Minimum Modulus of Polynomials, applied to Ray Sequences of Pade
Approximations, Constructive Approximation, 18(2002), 285-308.
Paper 161. Green
Equilibrium Measures and Representations of an External Field (Eli
Levin and DS Lubinsky), Journal of Approximation Theory, 113(2001),
298-323.
Paper
160. Convergence vs. Correspondence for Sequences of Rational
Functions, (L. Lorentzen and D.S. Lubinsky), Indagationes Mathematicae,
12(2001), 213-219.
Paper
159. Sharp estimates for the Maximum over Minimum Modulus of Rational
Functions, Proc. Amer. Math. Soc., 129(2001), 3519-3529.
Paper 158. Large Sieve Estimates on the Arcs of a Circle (Leonid
Golinskii, DS Lubinsky and Paul Nevai), Journal of Number Theory,
91(2001), 206-229.
Paper 157. John Knopfmacher, A Mathematical Biography, Quaestiones Mathematicae, 24(2001), p. 262
Paper 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. Nematu), Vanderbilt University Press,
Nashville, 2001, pp. 297-305 (DVI File).
Paper 155. Lp Markov-Bernstein Inequalities on
Arcs of the Circle, J. Approx. Theory, 108(2001), 1-17.
Paper 152. On Mean Convergence of Lagrange Interpolation
for
General Arrays, J. Approx. Theory, 104(2000), 220-225.
Paper 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.
Paper 147. On Converse Marcinkiewicz-Zygmund Inequalities in Lp,
p > 1, Constr. Approx., 15(1999), 577-610.
Paper 146. Asymptotics Associated with Exponential Weights, (A.L.
Levin and D.S. Lubinsky), International Maths Research Notices, 12(1999),
673-683.
Paper 145. The Size of (q;q)n
for q on the Unit
Circle, Journal of Number
Theory,
76(1999), 217-247.
Paper 142. On Boundedness of Lagrange Interpolation in Lp, p < 1, Journal
of
Approximation Theory, 96(1999), 399-404.
Paper
141. Small Values of Polynomials and Potentials with Lp Normalization,
Proc. Amer. Math. Soc., 127(1999), 529-536.
Paper 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.