Karlheinz GrĂ¶chenig Faculty of Mathematics, University of Vienna AUSTRIA given at NuHAG seminar (13.06.18 11:00) id: 3458 length: 60min status: type: LINK-Presentation: ABSTRACT:

In several investigations of time-frequency localization operators arises the condition that the Wigner distribution of a pair of windows does not have a zero. Our failure to produce non-trivial examples of such windows other than generalized Gaussians gives rise to the following conjecture: if the Wigner distribution or ambiguity function of a pair of window does not vanish then both windows must be generalized Gaussians. I will discuss the status of this conjecture.