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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2012, Volume 12, Issue 4, Pages 34–41
DOI: https://doi.org/10.18500/1816-9791-2012-12-4-34-41 (Mi isu330) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Mathematics

Wiener's theorem for periodic at infinity functions

I. I. Strukova

Voronezh State University
Full-text PDF (179 kB) Citations (6)
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DOI: https://doi.org/10.18500/1816-9791-2012-12-4-34-41
Abstract: In this article banach algebra of periodic at infinity functions is defined. For this class of functions notions of Fourier series and absolutely convergent Fourier series are introduced. As a result Wiener's theorem analog devoted to absolutely convergent Fourier series for periodic at infinity functions was proved.
Key words: Banach space, slowly varying at infinity functions, periodic at infinity functions, Wiener's theorem, absolutely convergent Fourier series, invertibility.
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: I. I. Strukova, “Wiener's theorem for periodic at infinity functions”, Izv. Saratov Univ. Math. Mech. Inform., 12:4 (2012), 34–41
Citation in format AMSBIB
\Bibitem{Str12}
\by I.~I.~Strukova
\paper Wiener's theorem for periodic at infinity functions
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2012
\vol 12
\issue 4
\pages 34--41
\mathnet{http://mi.mathnet.ru/isu330}
\crossref{https://doi.org/10.18500/1816-9791-2012-12-4-34-41}
\elib{https://elibrary.ru/item.asp?id=22271150}
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    • This publication is cited in the following 6 articles:
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    		Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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    References:70
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