On the zeros of the Wigner distribution
Faculty of Mathematics, University of Vienna
given at NuHAG seminar (13.06.18 11:00)
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.