Dear Colleagues and Students,<\/p>\n
You are cordially invited to the Analysis Seminar organized by the Department of Mathematics.<\/p>\n
Speaker: Sergey Favorov (Karazin\u2019s Kharkiv University, Ukraine)<\/p>\n
\u201cA local version of Wiener\u2019s theorem on absolutely convergent Fourier series\u201d<\/p>\n
Abstract:<\/strong> The well-known Wiener theorem states that if the function f is bounded away from zero on [0, 2\u03c0] and has an absolutely convergent Fourier series expansion, then the function 1 \/ f has the same property. Date: Monday, November 11, 2019 Dear Colleagues and Students, You are cordially invited to the Analysis Seminar organized by the Department of Mathematics. Speaker: Sergey Favorov (Karazin\u2019s Kharkiv University, Ukraine) \u201cA local version of Wiener\u2019s theorem on absolutely convergent Fourier series\u201d Abstract: The well-known Wiener theorem states that if the function f is bounded away [\u2026] <\/p>\n
\nA local version of this theorem is proved without the condition of boundedness away from zero. It also extends to Dirichlet series.
\nApplications: 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)
\n2) a new sufficient condition for a discrete set in Euclidean space to be a set of coherent frequencies.<\/p>\n
\nTime: 14:00
\nPlace: SA \u2013 Z18<\/p>\n","protected":false},"excerpt":{"rendered":"