
NuHAG :: TALKS
Talks given at NuHAG events


Problems in timefrequency analysis Karlheinz GrĂ¶chenig Faculty of Mathematics, University of Vienna AUSTRIA given at esi18 (18.03.19) id: 3431 length: min status: type: LINKPresentation: ABSTRACT:
Timefrequency analysis, i.e., the mathematics of timefrequency shifts (or phasespace shifts), is full of open problems that seem to require the input from other fields. This survey will present and discuss some challenges.
(a) What is the nature of the zero set of the shorttime Fourier transform or of the Wigner distribution? With connections to complex analysis.
(b) For which windows can one describe all lattices that generate a Gabor frame? With connections to complex analysis and approximation theory.
(c) What is the precise behavior of the frame bounds of a Gabor frame with Gaussian window over a lattice? With connections to complex analysis, theta functions, and tiling and packing problems.
