Universität Wien
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250085 SE Seminar Analysis (2024W)

4.00 ECTS (2.00 SWS), SPL 25 - Mathematik
Continuous assessment of course work

Registration/Deregistration

Note: The time of your registration within the registration period has no effect on the allocation of places (no first come, first served).

Details

max. 25 participants
Language: English

Lecturers

Classes (iCal) - next class is marked with N

The seminar takes place in blocks in the second half of the semester - dates by arrangement with the participants.

  • Wednesday 02.10. 09:45 - 11:15 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 09.10. 09:45 - 11:15 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 16.10. 09:45 - 11:15 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 23.10. 09:45 - 11:15 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 30.10. 09:45 - 11:15 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 06.11. 09:45 - 11:15 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 13.11. 09:45 - 11:15 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 20.11. 09:45 - 11:15 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 27.11. 09:45 - 11:15 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 04.12. 09:45 - 11:15 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 11.12. 09:45 - 11:15 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 08.01. 09:45 - 11:15 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 15.01. 09:45 - 11:15 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 22.01. 09:45 - 11:15 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 29.01. 09:45 - 11:15 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock

Information

Aims, contents and method of the course

The focus of this seminar course will be on the theory of pseudo-differential operators. Topics will include:

- Review of Fourier analysis and distribution theory on Euclidean spaces
- Existence of parametrices for elliptic partial differential operators
- Oscillatory Integrals
- Definition and basic properties of pseudo-differential operators (PDO)
- Composition and action of PDOs on Schwartz space, tempered distributions and Sobolev spaces
- Regularity for elliptic operators

Prerequisites thus include basic analysis courses, including functional analysis, measure theory and some Fourier analysis.

Assessment and permitted materials

Each participant will have to give a presentation and write a set of notes to accompany it.

Minimum requirements and assessment criteria

Each participant will have to give a presentation and write a set of notes to accompany it.

Examination topics

All topics discussed in the presentations.

Reading list

The main sources will be
- Pseudo-differential Operators and the Nash-Moser Theorem, by P. Gerard and S. Alinhac
- Elementary Introduction to the Theory of Pseudodifferential Operators, by X. Saint-Raymond
- Functional Analysis, by E. Stein and R. Shakarchi
- Partial Differential Equations and Complex Analysis, by S. Krantz

Association in the course directory

MANS

Last modified: Su 01.09.2024 00:02