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Talks given at NuHAG events

On the zeros of the Wigner distribution


  Karlheinz Gröchenig
    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.


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