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Course Outline
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Topics |
| Examples of unbounded operators and spectral problems |
| Basic properties Hilbert spaces, basis, examples, Fourier expansions, |
| Linear operators, definition, domain, properties |
| Bounded operators, classes of operators |
| Unbounded selfadjoint operators, defect indices, selfadjoint extensions, cores |
| One-parameter unitary groups, characterization of their generator,
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| Spectral Theory, spectral measures,
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Textbook
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Recommanded textbook
William G. Faris,
"Selfadjoint Operators",
Lecture Notes in Mathematics,
433
Springer, 1975
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Homework
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Homeworks will be offered on demand
Each homework will be graded.
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Final Exam
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Tuesday April 28th, 11:30-2:20pm
Skiles 271
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The final exam might be replaced by an individual projects to evaluate the work of students.
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An absence to the final exam will be graded 0 (zero). However if the absence is justified (disease, injury, ...), the student must (i) warn the instructor as soon as possible, in any case before the end of the exam week, (ii) bring the documents justifying the absence to the Instructor.
Then the student will receive an I (incomplete) and will be responsible to take action during the following semester to complete his/her curriculum.
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Grades
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90% for an A |
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Grade distribution |
80% for a B |
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70% for a C |
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60% for a D |
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