[Turkmath:4211] Bilkent Analiz Semineri - Sergey Favorov - 11.11.2019

[Bilkent Mathematics]

Değerli liste üyeleri,
 
Bilkent Matematik Bölümü Analiz Seminerleri kapsamında 11 Kasım'da Sergey Favorov konuşmacı olacaktır.
 
Sergey Favorov (Karazin's Kharkiv University, Ukraine)


" A local version of Wiener's theorem on absolutely convergent Fourier series" 

Özet: The well-known Wiener theorem states that if the function f  is bounded away from zero on [0, 2π] and has an absolutely convergent Fourier series expansion, then the function 1 / f  has the same property.
A local version of this theorem is proved without the condition of boundedness away from zero.  It also extends to Dirichlet series.
Applications: 1) in the theory of quasicrystals (a new sufficient condition for the representability of a discrete measure support in Euclidean space as the union of a finite number of lattices)
2) a new sufficient condition for a discrete set in Euclidean space to be a set of coherent frequencies.

Tarih: 11 Kasım 2019 Pazartesi, 14:00

Yer: SA - Z18

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