Universität Wien
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250507 VO Harmonic Analysis (2006W)

Harmonic Analysis

6.00 ECTS (3.00 SWS), SPL 25 - Mathematik

Erstmals am Donnerstag, 5. Oktober 2006

Details

Language: German

Lecturers

Classes (iCal) - next class is marked with N

  • Thursday 05.10. 11:15 - 12:45 Seminarraum
  • Tuesday 10.10. 11:15 - 12:45 Seminarraum
  • Thursday 12.10. 11:15 - 12:45 Seminarraum
  • Tuesday 17.10. 11:15 - 12:45 Seminarraum
  • Thursday 19.10. 11:15 - 12:45 Seminarraum
  • Tuesday 24.10. 11:15 - 12:45 Seminarraum
  • Tuesday 31.10. 11:15 - 12:45 Seminarraum
  • Tuesday 07.11. 11:15 - 12:45 Seminarraum
  • Thursday 09.11. 11:15 - 12:45 Seminarraum
  • Tuesday 14.11. 11:15 - 12:45 Seminarraum
  • Thursday 16.11. 11:15 - 12:45 Seminarraum
  • Tuesday 21.11. 11:15 - 12:45 Seminarraum
  • Thursday 23.11. 11:15 - 12:45 Seminarraum
  • Tuesday 28.11. 11:15 - 12:45 Seminarraum
  • Thursday 30.11. 11:15 - 12:45 Seminarraum
  • Tuesday 05.12. 11:15 - 12:45 Seminarraum
  • Thursday 07.12. 11:15 - 12:45 Seminarraum
  • Tuesday 12.12. 11:15 - 12:45 Seminarraum
  • Thursday 14.12. 11:15 - 12:45 Seminarraum
  • Tuesday 09.01. 11:15 - 12:45 Seminarraum
  • Thursday 11.01. 11:15 - 12:45 Seminarraum
  • Tuesday 16.01. 11:15 - 12:45 Seminarraum
  • Thursday 18.01. 11:15 - 12:45 Seminarraum
  • Tuesday 23.01. 11:15 - 12:45 Seminarraum
  • Thursday 25.01. 11:15 - 12:45 Seminarraum
  • Tuesday 30.01. 11:15 - 12:45 Seminarraum

Information

Aims, contents and method of the course

This course is devoted to harmonic analysis on R and Z from the point of view of time-frequency
analysis. Time-frequency analysis is a branch of modern Fourier analysis and is motivated by applications in signal processing. The course is intended for advanced students and the members of the Initiavkolleg ``Time-Frequency Analysis and Microlocal Analysis''. Therefore the
language will most likely be English.
Prospective topics: Fourier transform, uncertainty principle
Short-time Fourier transform
Wigner distribution
Frame theory
Gabor frames and their structure
Zak transform
Modulation spaces

This is a three credit course. Since I will be abroad in December, I will teach four hours per week during October, November, and January.

Assessment and permitted materials

Minimum requirements and assessment criteria

Examination topics

Vorkenntnisse: Analysis, ein wenig Funktionalanalysis, Grundkenntnisse über Fourierreihen und Fourier-Transformation.

Reading list

Y. Katznelson ``An Introduction to Harmonic Analysis''
G. Folland ``Harmonic Analysis on Phase Space''
K. Gröchenig ``Foundations of Time-Frequency Analysis''

Association in the course directory

Last modified: Mo 07.09.2020 15:40