Universität Wien

250116 VO Phase Space Analysis (2017W)

3.00 ECTS (2.00 SWS), SPL 25 - Mathematik

Details

Language: English

Examination dates

Lecturers

Classes (iCal) - next class is marked with N

  • Tuesday 03.10. 13:15 - 14:45 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 10.10. 13:15 - 14:45 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 17.10. 13:15 - 14:45 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 24.10. 13:15 - 14:45 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 31.10. 13:15 - 14:45 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 07.11. 13:15 - 14:45 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 14.11. 13:15 - 14:45 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 21.11. 13:15 - 14:45 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 28.11. 13:15 - 14:45 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 05.12. 13:15 - 14:45 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 12.12. 13:15 - 14:45 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 09.01. 13:15 - 14:45 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 16.01. 13:15 - 14:45 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 23.01. 13:15 - 14:45 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 30.01. 13:15 - 14:45 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock

Information

Aims, contents and method of the course

The goal is to explain the main notions of the harmonic analysis on phase space. The mathematics is relevant for quantum mechanics and in time-frequency analysis.
Topics: Phase-space representations (ambiguity function, Wigner distribution)
Coherent states and Gabor frames, duality theory of Gabor frames,
Function spaces
Quantization and pseudodifferential operators (Kohn-Nirenberg and Weyl-calculus)

Prerequisites: good knowledge of Fourier analysis (Fourier series, Fourier transform, Plancherel's theorem, Poisson summation formula) and basic functional analysis

Assessment and permitted materials

Oral exam

Minimum requirements and assessment criteria

Oral exam

Examination topics

Topics covered during the course

Reading list

G. Folland, Harmonic analysis on phase-space
K. Gröchenig, Foundations of time-frequency analysis

Association in the course directory

MANV

Last modified: Mo 07.09.2020 15:40