5 citations · 8 across the 12 of their papers we have counts for
15 papers
Generalized Fourier quasicrystals and almost periodic sets
Sergii Favorov
Let be a positive measure on the real line with locally finite support and integer masses such that its Fourier transform in the sense of distributions is a purely point me…
Almost periodic distributions and crystalline measures
Sergii Favorov
Based on the properties of distributions and measures with discrete support, we investigate temperate almost periodic distributions on the Euclidean space and connection with their…
Fourier quasicrystals and distributions on Euclidean spaces with spectrum of bounded density
Sergii Favorov
We consider temperate distributions on Euclidean spaces with uniformly discrete support and locally finite spectrum. We find conditions on coefficients of distributions under which…
Temperate distributions with locally finite support and spectrum on Euclidean spaces
Serhii Favorov
We prove that supports of a wide class of temperate distributions with uniformly discrete support and spectrum on Euclidean spaces are finite unions of translations of full-rank la…
Uniqueness theorem for Fourier transformable measures on LCA groups
Serhii Favorov
We show that if points of supports of two discrete "not very thick" Fourier transformable measures on LCA groups tend to one another at infinity and the same is true for the masses…
Fourier quasicrystals and Lagarias' conjecture
Sergii Yu. Favorov
J.C.Lagarias (2000) conjectured that if is a complex measure on p-dimensional Euclidean space with a uniformly discrete support and its spectrum (Fourier transform) is also a m…