Wavelet Analysis II
(dt. Waveletanalysis II)
|Level, degree of commitment in original study programme||Advanced module, compulsory elective module|
|Forms of teaching and learning,
|Lecture (3 SWS), recitation class (1 SWS), |
180 hours (60 h attendance, 120 h private study)
Course requirement: Successful completion of at least 50 percent of the points from the weekly exercises.
Examination type: Written or oral examination
|German,The grading is done with 0 to 15 points according to the examination regulations for study course M.Sc. Mathematics.|
|Original study programme||M.Sc. Mathematik / Vertiefungsbereich Mathematik|
|One semester, |
Regelmäßig im Wechsel mit anderen advanced moduleen
|Person in charge of the module's outline||Prof. Dr. Stephan Dahlke|
Construction of multivariate wavelets for general scaling, construction of biorthogonal wavelets, characterization of function spaces using wavelets, continuous wavelet transformation.
The students shall
- get to know advanced starting points of wavelet analysis by concrete examples,
- Understand various advanced constructions and deepen the analytical tools used,
- to recognize exemplarily the theoretical background and the concrete applications of analytical methods,
- follow recent developments in a current field of mathematics,
- practice mathematical working methods (development of mathematical intuition and its formal justification, training of the ability to abstract, proof techniques),
- improve their oral communication skills in the exercises by practicing free speech in front of an audience and during discussion.
None. The competences taught in the following module are recommended: Wavelet Analysis I.
- Daubechies, I.: Ten lectures on Wavelets, CBMS-NSF Regional Confe-rence Series in Applied Mathematics, 61 SIAM Press, Philadelphia;
- P. Wojtaszczyk. A mathematical introduction to wavelets, Cambridge
- University Press 1997
This page describes a module according to the latest valid module guide in Wintersemester 2022/23. Most rules valid for a module are not covered by the examination regulations and can therefore be updated on a semesterly basis. The following versions are available in the online module guide:
- WiSe 2016/17 (no corresponding element)
- SoSe 2018 (no corresponding element)
- WiSe 2018/19
- WiSe 2019/20
- WiSe 2020/21
- SoSe 2021
- WiSe 2021/22
- WiSe 2022/23
The module guide contains all modules, independent of the current event offer. Please compare the current course catalogue in Marvin.
The information in this online module guide was created automatically. Legally binding is only the information in the examination regulations (Prüfungsordnung). If you notice any discrepancies or errors, we would be grateful for any advice.