Zobrazeno 1 - 10
of 1 405
pro vyhledávání: '"Favorov, A."'
Autor:
Favorov, Serhii
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:
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:
Favorov, Sergii
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 transforms. We also study relations between the Fourier trans
Externí odkaz:
http://arxiv.org/abs/2211.16856
Autor:
Favorov, Sergii
We consider temperate distributions on Euclidean spaces with uniformly discrete support and locally finite spectrum. We find conditions on coefficients of distributions under which they are finite sum of derivatives of generalized lattice Dirac combs
Externí odkaz:
http://arxiv.org/abs/2203.06733
Publikováno v:
IEEE Access, Vol 12, Pp 155851-155866 (2024)
Contextually Guided Convolutional Neural Networks (CG-CNNs) employ self-supervision and contextual information to develop transferable features across diverse domains, including visual, tactile, temporal, and textual data. This work showcases the ada
Externí odkaz:
https://doaj.org/article/8a9a0b5d6dec4b369a6d8a7560f5fd6d
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