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UID:7822@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20160509T100000
DTEND;TZID=Europe/Paris:20160509T110000
DTSTAMP:20241120T204843Z
URL:https://www.i2m.univ-amu.fr/evenements/sampling-measures-muckenhoupt-h
 amiltonians-and-triangular-factorization/
SUMMARY:Roman Bessonov (Saint Petersburg State University\, Russia): Sampli
 ng measures\, Muckenhoupt Hamiltonians\, and triangular factorization
DESCRIPTION:Roman Bessonov: Let μ be an even measure on the real line  suc
 h that c1∫ |f|2dx ≤∫ |f|2dμ ≤ c2∫ |f|2dx for all functions f in
  the Paley-Wiener space PWa. We prove that μ is the spectral measure for 
 the unique Hamiltonian  =  on [0\,a] generated by a weight w from the Muck
 enhoupt class A2[0\,a]. As a consequence of this result\, we construct Kre
 in’s orthogonal entire functions with respect to μ and prove that every
  positive\, bounded\, invertible Wiener-Hopf operator on [0\,a] with real 
 symbol admits triangular factorization. \nhttps://arxiv.org/abs/1603.07533
 \n
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 021/04/Roman_Bessonov.jpg
CATEGORIES:Séminaire,Analyse et Géométrie
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DTSTART:20160327T030000
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