Zobrazeno 1 - 10 of 156 pro vyhledávání: '"S. S. Platonov"'
2
On the Fourier transform of functions from the classes $$H_p^\alpha ({{\mathbb {R}}})$$
Autor: S. S. Platonov
Publikováno v: Bollettino dell'Unione Matematica Italiana. 14:593-608
Let a function f belongs to the Lebesgue class $$L^p({{\mathbb {R}}})$$ , $$1\le p\le 2$$ , and let $${\widehat{f}}$$ be the Fourier transform of f. The classical theorem of E. Titchmarsh states that if the function f belongs to the Lipschitz class $
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::c2ae2be37becc1a1fadba0708927b6d1
https://doi.org/10.1007/s40574-021-00291-8
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3
On the Fourier–Walsh Transform of Functions from Dyadic Dini–Lipschitz Classes on the Semiaxis
Autor: S. S. Platonov
Publikováno v: Mathematical Notes. 108:229-242
Let $$f(x)$$ be a function belonging to the Lebesgue class $$L^p({\mathbb R}_+)$$ on the semiaxis $${\mathbb R}_+=[0,+\infty)$$ , $$1\le p\le 2$$ , and let $$\widehat{f}$$ be the Fourier–Walsh transform of the function $$f$$ . In this paper, we giv
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::72363802c40126808e98081b79baeee8
https://doi.org/10.1134/s000143462007024x
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4
Akademický článek
About a structure of exponential monomials on some locally compact abelian groups. О структуре экспоненциальных мономов на некоторых локально компактных абелевых группах
Autor: S. S. Platonov.
Publikováno v: Проблемы анализа, Vol 1 (19), Iss 1, Pp 3-14 (2012)
Получено описание некоторого класса экспоненциальных мономов на локально компактных абелевых группах.We describe the structure of some class of exponential mono
Externí odkaz: https://doaj.org/article/49f0b9ac7088462283b44ca05d67af8d
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6
An Analog of Titchmarsh’s Theorem for the Fourier–Walsh Transform
Autor: S. S. Platonov
Publikováno v: Mathematical Notes. 103:96-103
Using the Fourier–Walsh transform on ℝ+ = [0,+∞), we prove a dyadic analog of the classical Titchmarsh theorem on the description of the image under the Fourier transformation of the set of functions satisfying the Lipschitz condition in L2.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::8ac344362b334115059b79e929862542
https://doi.org/10.1134/s000143461801011x
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8
On spectral synthesis on element-wise compact Abelian groups
Autor: S S Platonov
Publikováno v: Sbornik: Mathematics. 206:1150-1172
Let be an arbitrary locally compact Abelian group and let be the space of all continuous complex-valued functions on . A closed linear subspace is referred to as an invariant subspace if it is invariant with respect to the shifts , . By definition, a
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::169f170b89ba74ffa33d4532d473b558
https://doi.org/10.1070/sm2015v206n08abeh004492
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9
Fourier-Jacobi harmonic analysis and approximation of functions
Autor: S S Platonov
Publikováno v: Izvestiya: Mathematics. 78:106-153
We use the methods of Fourier-Jacobi harmonic analysis to study problems of the approximation of functions by algebraic polynomials in weighted function spaces on . We prove analogues of Jackson's direct theorem for the moduli of smoothness of all or
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::6d5c7cfd403e16aa00d1021de0887fdf
https://doi.org/10.1070/im2014v078n01abeh002682
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10
On spectral synthesis on zero-dimensional Abelian groups
Autor: S S Platonov
Publikováno v: Sbornik: Mathematics. 204:1332-1346
Let G be a zero-dimensional locally compact Abelian group all of whose elements are compact, and let C(G) be the space of all complex-valued continuous functions on G. A closed linear subspace H⊆C(G) is said to be an invariant subspace if it is inv
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::6bf25a56ae286f6caff7c6ab4faabbb2
https://doi.org/10.1070/sm2013v204n09abeh004342
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