The faber-krahn inequality for the short-time fourier transform

HIGHLIGHTS

  • who: Fabio Nicola from the 4, Torino, Italy have published the paper: The Faber-Krahn inequality for the short-time Fourier transform, in the Journal: (JOURNAL)
  • what: More precisely given a measurable set u2282 R2d having measure s > the authors prove that the quantity = max is largest possible if and only if is equivalent up to a negligible set to a ball of measure s and in this case the authors characterize all functions f that achieve equality. The authors provide a complete solution to this problem proving that the optimal sets are balls in . . .

     

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