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250074 VO Harmonic Analysis (2011W)

6.00 ECTS (4.00 SWS), SPL 25 - Mathematik

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Eine Anmeldung ist erwünscht aber nicht notwendig.

Details

Language: German

Examination dates

Lecturers

Classes (iCal) - next class is marked with N

Monday 03.10. 09:15 - 11:00 Seminarraum
Tuesday 04.10. 09:15 - 11:00 Seminarraum
Monday 10.10. 09:15 - 11:00 Seminarraum
Tuesday 11.10. 09:15 - 11:00 Seminarraum
Monday 17.10. 09:15 - 11:00 Seminarraum
Tuesday 18.10. 09:15 - 11:00 Seminarraum
Monday 24.10. 09:15 - 11:00 Seminarraum
Tuesday 25.10. 09:15 - 11:00 Seminarraum
Monday 31.10. 09:15 - 11:00 Seminarraum
Monday 07.11. 09:15 - 11:00 Seminarraum
Tuesday 08.11. 09:15 - 11:00 Seminarraum
Monday 14.11. 09:15 - 11:00 Seminarraum
Tuesday 15.11. 09:15 - 11:00 Seminarraum
Monday 21.11. 09:15 - 11:00 Seminarraum
Tuesday 22.11. 09:15 - 11:00 Seminarraum
Monday 28.11. 09:15 - 11:00 Seminarraum
Tuesday 29.11. 09:15 - 11:00 Seminarraum
Monday 05.12. 09:15 - 11:00 Seminarraum
Tuesday 06.12. 09:15 - 11:00 Seminarraum
Monday 12.12. 09:15 - 11:00 Seminarraum
Tuesday 13.12. 09:15 - 11:00 Seminarraum
Monday 09.01. 09:15 - 11:00 Seminarraum
Tuesday 10.01. 09:15 - 11:00 Seminarraum
Monday 16.01. 09:15 - 11:00 Seminarraum
Tuesday 17.01. 09:15 - 11:00 Seminarraum
Monday 23.01. 09:15 - 11:00 Seminarraum
Tuesday 24.01. 09:15 - 11:00 Seminarraum
Monday 30.01. 09:15 - 11:00 Seminarraum
Tuesday 31.01. 09:15 - 11:00 Seminarraum

Information

Aims, contents and method of the course

Fourier series and Fourier integrals: summability and convergence, Plancherel theorem, Poisson summation formula, Hilbert transform.
Introduction to analysis on the Heisenberg group

Assessment and permitted materials

oral exam

Minimum requirements and assessment criteria

The course will introduce to harmonic analysis starting from a concrete commutative setting.
Some aspects of a (slightly) non-commutative situation will be discussed.

Examination topics

Perequsits: Knowledge in analysis (calculus)and linear algebra as given in the first semesters of university studies

Reading list

Deitmar, A.: A first course in harmonic analysis,
Katznelson, Y.: An introduction to harmonic analysis,
Dym, H. and McKean, H.P.: Fourier series and integrals,
Laugesen, R.: Harmonic analysis lecture notes.

Association in the course directory

MANV

Last modified: Mo 07.09.2020 15:40