ICMS Seminar
Institute of Mathematics and Informatics, BAS Akad.G.Bonchev St, bl. 8, 1113, SofiaTime: February 11, 2025, 2:00 pm Place: Room 403, IMI - BAS Speaker: Sergey Favorov, Department of Pure Mathematics, Kharkov National University, Ukraine Title: Fourier quasicrystals and their generalizations, zeros of Dirichlet series, other almost periodic objects Further information: https://icms.bg/fourier-quasicrystals-and-their-generalizations-zeros-of-dirichlet-series-other-almost-periodic-objects-icms-seminar-talk-by-sergey-favorov/ Abstract. A complex measure \mu on a d -dimensional Euclidean space is a crystalline measure (CM) if it is the temperate distribution, its distributional Fourier transform \hat\mu is also a measure, and supports of \mu and \hat\mu are discrete (locally finite); \mu is a Fourier quasicrystal (FQ) if, in addition, |\mu| and |\hat\mu| are also temperate distributions. For example, if \mu_0 is the sum of the unit masses at all points with integer coordinates, then by Poisson’s [...]