Zobrazeno 1 - 9
of 9
pro vyhledávání: '"Favorov, Serhii"'
Autor:
Favorov, Serhii
We study properties of temperate non-negative purely atomic measures in the Euclidean space such that the distributional Fourier transform of these measures are pure point ones. A connection between these measures and almost periodicity is shown, sev
Externí odkaz:
http://arxiv.org/abs/2404.15448
Autor:
Favorov, Serhii
We construct a crystalline measure on the real line, which is not a Fourier Quasicrystal.
Comment: 5 pages, 12 references
Comment: 5 pages, 12 references
Externí odkaz:
http://arxiv.org/abs/2401.01121
Autor:
Favorov, Serhii
Let $S(z)$ be an absolutely convergent Dirichlet series with a bounded spectrum and only real zeros $a_n$, let $\mu$ be the sum of unit masses at points $a_n$. It is proven that the Fourier transform $\hat\mu$ in the sense of distributions is a purel
Externí odkaz:
http://arxiv.org/abs/2311.02728
Autor:
Favorov, Serhii
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 lattices. This result is a generalization of the corresponding theorem f
Externí odkaz:
http://arxiv.org/abs/2106.07073
Autor:
Favorov, Serhii, Udodova, Olga
Uniqueness theorems are considered for various types of almost periodic objects: functions, measures, distributions, multisets, holomorphic and meromorphic functions.
Comment: 11 pages
Comment: 11 pages
Externí odkaz:
http://arxiv.org/abs/2106.07067
Autor:
Favorov, Serhii
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 at these points, then these measures coincide. The result is valid fo
Externí odkaz:
http://arxiv.org/abs/2011.07361
Autor:
Favorov, Serhii
Let h be a real-analytic function in the neighborhood of some compact set K on the plane. We show that for any complex measure on the Euclidean space of a finite total variation without singular components with the Fourier--Stieltjes transform f(y) t
Externí odkaz:
http://arxiv.org/abs/1912.11298
Autor:
Favorov, Serhii
Using a local analog of the Wiener-Levi theorem, we investigate the class of measures on Euclidean space with discrete support and spectrum. Also, we find a new sufficient conditions for a discrete set in Euclidean space to be a coherent set of frequ
Externí odkaz:
http://arxiv.org/abs/1910.13381
Autor:
Favorov, Serhii
We investigate properties of tempered distributions with discrete or countable supports such that their Fourier transforms are distributions with discrete or countable supports as well. We find sufficient conditions for support of the distribution to
Externí odkaz:
http://arxiv.org/abs/1801.08490