Universität Wien

562473 VO Selected Chapters of Harmonic Analysis (2005S)

Selected Chapters of Harmonic Analysis

0.00 ECTS (2.00 SWS), SPL 25 - Mathematik

Erstmals am 7. März 2005

Details

Language: German

Lecturers

Classes (iCal) - next class is marked with N

  • Monday 07.03. 13:15 - 14:45 Seminarraum
  • Monday 14.03. 13:15 - 14:45 Seminarraum
  • Monday 04.04. 13:15 - 14:45 Seminarraum
  • Monday 11.04. 13:15 - 14:45 Seminarraum
  • Monday 18.04. 13:15 - 14:45 Seminarraum
  • Monday 25.04. 13:15 - 14:45 Seminarraum
  • Monday 02.05. 13:15 - 14:45 Seminarraum
  • Monday 09.05. 13:15 - 14:45 Seminarraum
  • Monday 23.05. 13:15 - 14:45 Seminarraum
  • Monday 30.05. 13:15 - 14:45 Seminarraum
  • Monday 06.06. 13:15 - 14:45 Seminarraum
  • Monday 13.06. 13:15 - 14:45 Seminarraum
  • Monday 20.06. 13:15 - 14:45 Seminarraum
  • Monday 27.06. 13:15 - 14:45 Seminarraum

Information

Aims, contents and method of the course

The topic of this special course (which will be given in English due to the large
number of visitors) are application oriented aspects of harmonic analysis, such as Banach spaces of functions and distributions, Wiener amalgams, coorbit spaces. In particular, the role of the so-called Feichtinger algebra S_0(Rd) will
be described, which allows the use of a so-called Banach Gelfand triple, most suitable for the description of many questions arising in
time-frequency analysis.

Assessment and permitted materials

Minimum requirements and assessment criteria

The goal of this course is to bring the students and guests attending this relatively informal series of lectures to the research topic of time- frequency analysis, which is the subject of a parallel special semester at ESI (April - Juni 2005) and which is also the main area for the
upcoming European Excellence Center EUCETIFA (based on a so-called Marie Curie Excellence Grant).

Examination topics

The methods used are mostly taken from functional and harmonic analysis.
Basic knowledge in the area of Banach space theory and Hilbert spaces are requested.

Reading list

Aside from a series of original papers (including those found at the NuHAG home-page http://www.univie.ac.at/NuHAG/ (publications)
the following books will be relevant (they can be borrowed at the NuHAG offices):
(1) K.Gröchenig: Foundations of Time-Frequency Analysis. Birkhäuser, 2001, ISBN 0-8176-4022-3
(2) H.G.Feichtinger, T.Strohmer: Gabor Analysis and Algorithms. Birkhäuser 1998, ISBN 0-8176-3959-4
(3) H.G.Feichtinger, T.Strohmer: Advances in Gabor Analysis. Birkhäuser, 2003, ISBN 0-8176-4239-0

Association in the course directory

Last modified: Sa 26.02.2022 00:30