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Representation Theory in Signal Analysis
Last Updated: 2026-02-05 15:34:39
Abstract
The scope of the course is to give an introduction to the theory of unitary representations of locally compact groups with a particular regard to the applications of this theory in signal analysis.
Content
The scope of the course is to give an introduction to the theory of unitary representations of locally compact groups with a particular regard to the applications of this theory in signal analysis. The course starts with an overview of the measure theory on locally compact groups. Then, the fundamental definitions and results in representation theory are presented (irreducible unitary representations, Schur’s lemma, voice transforms, square-integrable representations, reproducing formulae). We conclude the course showing that some of the most important transforms in applied harmonic analysis such as the Gabor transform, the wavelet transform and the shearlet transform are related to square-integrable unitary representations.
General Information
- Language
- English
- Levels
- MSC
Examination
- Type
- session examination
- Mode
- oral 20 minutes
Course Components
| Type | Title | Time & Place | Hours |
|---|---|---|---|
| lecture |
Representation Theory in Signal Analysis
Lecturer: Dr. F. Bartolucci
|
|
2 h weekly |
Offered In
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Electives (For the Master's degree in Applied Mathematics the following additional condition (not manifest in myStudies) must be obeyed: At least 15 of the required 28 credits from core courses and electives must be acquired in areas of applied mathematics and further application-oriented fields.)
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