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TZID:Europe/Paris
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UID:5558@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20140210T100000
DTEND;TZID=Europe/Paris:20140210T110000
DTSTAMP:20241030T104545Z
URL:https://www.i2m.univ-amu.fr/evenements/fourier-multipliers-for-levy-kh
 inchin-scheinberg-weights/
SUMMARY:Nikolai Nikolski (IMB\, Université de Bordeaux 1): Fourier multipl
 iers for Levy-Khinchin-Scheinberg weights
DESCRIPTION:Nikolai Nikolski: In this talk\, we present a class of weight f
 unctions w on the circle 𝕋\, called Lévy–Khinchin–Schoenberg (LKS)
  weights\, for which we are able to completely characterize (in terms of a
  capacitary inequality) all Fourier multipliers for the weighted space L2(
 𝕋\,w). We show that the multiplier algebra is nontrivial if and only if
  1/w ∈ L1(𝕋)\, and in this case multipliers satisfy the Spectral Loca
 lization Property (no “hidden spectrum”). On the other hand\, the Muck
 enhoupt (A2) condition responsible for the basis property of exponentials 
 (eikx) is more or less independent of the Spectral Localization Property a
 nd LKS requirements. Some more complicated compositions of LKS weights are
  considered as well.\nhttps://arxiv.org/abs/1404.4380\n
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 021/03/Nikolai_Nikolski.jpg
CATEGORIES:Séminaire,Analyse et Géométrie
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DTSTART:20131027T020000
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