Universität Wien

250121 SE Seminar (Analysis): Pseudodifferentialoperators (2005W)

Seminar (Analysis): Pseudodifferentialoperators

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

Vorbesprechung am Montag, 10.10.2005, 14.00 Uhr im Dienstzimmer C 511, UZA 4

Details

Language: German

Lecturers

Classes (iCal) - next class is marked with N

  • Monday 10.10. 15:45 - 17:15 Büro Dipl./Diss.
  • Monday 17.10. 15:45 - 17:15 Büro Dipl./Diss.
  • Monday 24.10. 15:45 - 17:15 Büro Dipl./Diss.
  • Monday 31.10. 15:45 - 17:15 Büro Dipl./Diss.
  • Monday 07.11. 15:45 - 17:15 Büro Dipl./Diss.
  • Monday 14.11. 15:45 - 17:15 Büro Dipl./Diss.
  • Monday 21.11. 15:45 - 17:15 Büro Dipl./Diss.
  • Monday 28.11. 15:45 - 17:15 Büro Dipl./Diss.
  • Monday 05.12. 15:45 - 17:15 Büro Dipl./Diss.
  • Monday 12.12. 15:45 - 17:15 Büro Dipl./Diss.
  • Monday 09.01. 15:45 - 17:15 Büro Dipl./Diss.
  • Monday 16.01. 15:45 - 17:15 Büro Dipl./Diss.
  • Monday 23.01. 15:45 - 17:15 Büro Dipl./Diss.
  • Monday 30.01. 15:45 - 17:15 Büro Dipl./Diss.

Information

Aims, contents and method of the course

We discuss in detail the analytic and functional analytic foundations of the theory of pseudodifferential operators on smooth manifolds. Such operators can be considered as generalized partial differential operators and include, for example, parametrices (i.e., approximate inverses modulo smooth contributions) of elliptic operators.

As prerequisites a solid knowledge of functional analysis and distribution theory is indispensable; special preparatory topics, such as the 'kernel theorem' and 'oscillatory integral', can be reviewed within the first few sessions.

Assessment and permitted materials

Minimum requirements and assessment criteria

Examination topics

Reading list

J. Chazarain and A. Piriou, Introduction to the theory of linear partial differential equations (North-Holland 1982)

J. Dieudonne, Grundzüge der modernen Analysis, Band 7 (Vieweg, 1982)

L. Hörmander, The analysis of linear partial differential operators, Volume III (Springer, Second printing 1994)

X. Saint Raymond, Elementary introduction to the theory of pseudodifferential operators (CRC Press, 1991)

M. A. Shubin, Pseudodifferential Operators and Spectral Theory (Springer, 2nd Edition 2001)

Association in the course directory

Last modified: Mo 07.09.2020 15:40