Universität Wien
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250135 VO Selected topics in analysis (Wiener's lemma) (2009S)

3.00 ECTS (2.00 SWS), SPL 25 - Mathematik

Details

Language: English

Lecturers

Classes (iCal) - next class is marked with N

  • Tuesday 03.03. 10:15 - 11:45 Seminarraum S1 Vienna Micro-CT Lab, Althanstraße 12-14
  • Tuesday 10.03. 10:15 - 11:45 Seminarraum S1 Vienna Micro-CT Lab, Althanstraße 12-14
  • Tuesday 17.03. 10:15 - 11:45 Seminarraum S1 Vienna Micro-CT Lab, Althanstraße 12-14
  • Tuesday 24.03. 10:15 - 11:45 Seminarraum S1 Vienna Micro-CT Lab, Althanstraße 12-14
  • Tuesday 31.03. 10:15 - 11:45 Seminarraum S1 Vienna Micro-CT Lab, Althanstraße 12-14
  • Tuesday 21.04. 10:15 - 11:45 Seminarraum S1 Vienna Micro-CT Lab, Althanstraße 12-14
  • Tuesday 28.04. 10:15 - 11:45 Seminarraum S1 Vienna Micro-CT Lab, Althanstraße 12-14
  • Tuesday 05.05. 10:15 - 11:45 Seminarraum S1 Vienna Micro-CT Lab, Althanstraße 12-14
  • Tuesday 12.05. 10:15 - 11:45 Seminarraum S1 Vienna Micro-CT Lab, Althanstraße 12-14
  • Tuesday 19.05. 10:15 - 11:45 Seminarraum S1 Vienna Micro-CT Lab, Althanstraße 12-14
  • Tuesday 26.05. 10:15 - 11:45 Seminarraum S1 Vienna Micro-CT Lab, Althanstraße 12-14
  • Tuesday 09.06. 10:15 - 11:45 Seminarraum S1 Vienna Micro-CT Lab, Althanstraße 12-14
  • Tuesday 16.06. 10:15 - 11:45 Seminarraum S1 Vienna Micro-CT Lab, Althanstraße 12-14
  • Tuesday 23.06. 10:15 - 11:45 Seminarraum S1 Vienna Micro-CT Lab, Althanstraße 12-14
  • Tuesday 30.06. 10:15 - 11:45 Seminarraum S1 Vienna Micro-CT Lab, Althanstraße 12-14

Information

Aims, contents and method of the course

Wiener's Lemma is a classical and seemingly innocent result about absolutely convergent Fourier series. It is central in the development of the abstract theory of Banach algebras and keep inspiring new research. This course will give an introduction to Wiener's Lemma.

Topics: Absolutely convergent Fourier series and Wiener's Lemma, convolution operators and their spectrum, off-diagonal decay of matrices and their inverses, weight functions, Wiener's Lemma and time-frequency shifts; some Banach algebra concepts.

Assessment and permitted materials

Mündliche Prüfung

Minimum requirements and assessment criteria


Topics: Absolutely convergent Fourier series and Wiener's Lemma, convolution operators and their spectrum, off-diagonal decay of matrices and their inverses, weight functions, Wiener's Lemma and time-frequency shifts; some Banach algebra concepts.

Examination topics

Prerequisites: only analysis, in contrast to the usual treatment no
knowledge of Banach algebras is required.

Reading list

K. Gröchenig "Wiener's Lemma: Theme and Variations. An Introduction to Spectral Invariance" (will be available on my homepage)

Association in the course directory

MANV

Last modified: Fr 01.10.2021 00:23