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

Karlheinz Gröchenig

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

2.1. Vorlesungen, Proseminare, Konversatorien

25.02. Mathematik ➡ A. Diplomstudium Mathematik

Last modified: Mo 07.09.2020 15:40