241006 Oscillatory Integral Operators (VÜA) (SoSe 2016)
Contents, comment
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I. Review/Basics: Fourier transform, Calderon-Zygmund theory, Fourier multipliers, wave front set.
II. Oscillatory integrals: Oscillatory integrals of the first kind, stationary phase, surface carried measures, non-homogeneous oscillatory integrals, restrictions theorems, Riesz means
III. Pseudodifferential Operators: Calculus, Boundedness
IV. The Laplacian on compact manifolds: The Weyl asymtotic, L^p estimates for eigenfunctions
V. Fourier Integral Operators:...
Requirements for participation, required level
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undergraduate analysis, measure and integration, L^p spaces, basic functional analysis
Bibliography
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1. Sogge, Christopher D.: Fourier integrals in classical analysis.
Cambridge University Press, Cambridge, 1993. x+237 pp., ISBN: 0-521-43464-52. Stein, Elias: Harmonic Analysis: real-variable methods, orthogonality, and oscillatory integrals.
Princeton University Press, Princeton, NJ, 1993. xiv+695 pp., ISBN: 0-691-03216-5
Teaching staff
Dates ( Calendar view )
| Frequency | Weekday | Time | Format / Place | Period |
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Subject assignments
| Module | Course | Requirements | |
|---|---|---|---|
| 24-M-P1 Profilierung 1 | Profilierungsvorlesung (mit Übung) - Typ 2 | Study requirement
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Student information |
| 24-M-P2 Profilierung 2 | Profilierungsvorlesung (mit Übungen) - Typ 2 | Study requirement
|
Student information |
| 24-M-PWM Profilierung Wirtschaftsmathematik | Profilierungsvorlesung (mit Übung) -Typ 2 | Study requirement
|
Student information |
| - | Graded examination | Student information | |
| 24-M-VM2 Vertiefung Mathematik 2 | Vertiefungskurs Mathematik 2 - Variante 3 Teil 1 | Study requirement
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Student information |
The binding module descriptions contain further information, including specifications on the "types of assignments" students need to complete. In cases where a module description mentions more than one kind of assignment, the respective member of the teaching staff will decide which task(s) they assign the students.
For students in the master program "Theoretical and mathematical physics": Currently, there are no plans for "Vertiefungskurs Math. 2 Variante 3 Teil 2" in the following semesters. In case you need such a "second part", please approach S.H. as soon as possible to make appropriate arrangements.
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- Last update basic details/teaching staff:
- Tuesday, February 9, 2016
- Last update times:
- Monday, March 7, 2016
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- Monday, March 7, 2016
- Type(s) / SWS (hours per week per semester)
- lecture with exercises (VÜA) / 4
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- This lecture is taught in english
- Department
- Faculty of Mathematics
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