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SUMMARY:Stability of the Faber-Krahn inequality for the short-time Fourier
  transform
DTSTART:20231009T120000Z
DTEND:20231009T130000Z
DTSTAMP:20260425T035400Z
UID:indico-event-10267@indico.math.cnrs.fr
DESCRIPTION:Speakers: André Guerra (ETH Zürich)\n\nFor a given signal\, 
 its short-time Fourier transform (STFT) is a measure of its "instantaneou
 s frequency". For generic signals\, however\, the uncertainty principle s
 ays that the concept of instantaneous frequency is not well defined and th
 us the STFT can only be so much concentrated on a given set of finite\, 
 positive measure. The Faber-Krahn inequality for the STFT asserts that the
  STFT is optimally localized if the localization domain is a ball and the
  signal is a suitable Gaussian. In this talk we will discuss a recent pr
 oof of an optimal\, quantitative version of this result\, joint with J. G
 ómez\, J. P. G. Ramos and P. Tilli.\n\nhttps://indico.math.cnrs.fr/event/
 10267/
LOCATION:Amphi Schwartz
URL:https://indico.math.cnrs.fr/event/10267/
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