The seminar will start with a brief introduction to the theory of frames in Hilbert spaces. Then, the seminar will be devoted to the introduction and the study of the Gabor transform in time-frequency analysis which naturally fits into the theory of frames.Every participant will be assigned a paper covering a central result concerning the Gabor transform in signal processing.

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.