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250147 SE Frame Theory (2020W)

4.00 ECTS (2.00 SWS), SPL 25 - Mathematik
Continuous assessment of course work



max. 25 participants
Language: English



Preparatory Meeting: Thursday 15 October 2020 14:00-15:30 Besprechungszimmer 2nd Floor, Fakultät für Mathematik, Oskar-Morgenstern-Platz 1

Regular class: Thursday 14:00-16:00
Vortragssaal Institut für Schallforschung, EG, Wohllebengasse 12-14, 1040 Wien


Aims, contents and method of the course

Frame theory is concerned with the study of stable, potentially overcomplete spanning sets in a Hilbert space. Its starting point is a generalization of the principle of an orthonormal basis resulting in the definition of a frame. Similar to orthonormal bases (ONBs) every function can be (i) recovered from its frame coefficients, i.e. the inner products with respect to the frame elements and (ii) expanded into a linear combination of the frame elements. Frames have a rich structure despite being much less restrictive than ONBs, rendering them attractive for a wide number of applications. In addition to being an active field of research, posing interesting research questions of its own, frame theory has applications in other fields, like signal processing and physics.

In this seminar the topics will go beyond basic frame theory (treated in last years course 'frame theory'). We study and discuss selected advanced topics in frame theory and its application. The choice of topics will be discussed during the seminar.

Assessment and permitted materials

At least two oral presentations during the semester on distinct recent research topics. Active participation in the research discussions during the seminar.

Minimum requirements and assessment criteria

Examination topics

Reading list

Association in the course directory


Last modified: Tu 04.08.2020 11:48