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pro vyhledávání: '"Favorov A"'
Autor:
Favorov, Sergii
A simple necessary and sufficient condition is given for an absolutely convergent Dirichlet series with imaginary exponents and only real zeros to be a finite product of sines. The proof is based on Meyer's theorem on quasicrystals.
Comment: 5 p
Comment: 5 p
Externí odkaz:
http://arxiv.org/abs/2411.07190
Autor:
Favorov, Sergii
We study a certain family of discrete measures with unit masses on a horizontal strip as an analogue of Fourier quasicrystals on the real line. We prove a one-to-one correspondence between supports of measures from this family and zero sets of expone
Externí odkaz:
http://arxiv.org/abs/2408.09563
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:
Clark, Elena Pedigo
Publikováno v:
The Slavic and East European Journal, 2018 Dec 01. 62(4), 773-773.
Externí odkaz:
https://www.jstor.org/stable/45408794
Autor:
Bowers, Katherine
Publikováno v:
Translation and Literature, 2018 Jul 01. 27(2), 242-249.
Externí odkaz:
https://www.jstor.org/stable/26540401
Autor:
Taylor, Romy
Publikováno v:
The Russian Review, 2018 Jul 01. 77(3), 485-485.
Externí odkaz:
https://www.jstor.org/stable/45097010
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, Sergii
Let $\mu$ be a positive measure on the real line with locally finite support $\Lambda$ and integer masses such that its Fourier transform in the sense of distributions is a purely point measure. An explicit form is found for an entire almost periodic
Externí odkaz:
http://arxiv.org/abs/2308.07585
Autor:
Brandenberger, David
Publikováno v:
The Historian, 2017 Dec 01. 79(4), 893-895.
Externí odkaz:
https://www.jstor.org/stable/26745216