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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2014, Volume 14, Issue 1, Pages 28–38
DOI: https://doi.org/10.18500/1816-9791-2014-14-1-28-38 (Mi isu483) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Mathematics

About harmonic analysis of periodic at infinity functions

I. I. Strukova

Voronezh State University, 1, Universitetskaya pl., 394036, Voronezh, Russia
Full-text PDF (216 kB) Citations (7)
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DOI: https://doi.org/10.18500/1816-9791-2014-14-1-28-38
Abstract: We consider slowly varying and periodic at infinity multivariable functions in Banach space. We introduce the notion of Fourier series of periodic at infinity function, study the properties of Fourier series and their convergence. Basic results are derived with the use of isometric representations theory.
Key words: Banach space, Banach algebra, slowly varying at infinity functions, periodic at infinity functions, Fourier series, modulus of continuity.
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: I. I. Strukova, “About harmonic analysis of periodic at infinity functions”, Izv. Saratov Univ. Math. Mech. Inform., 14:1 (2014), 28–38
Citation in format AMSBIB
\Bibitem{Str14}
\by I.~I.~Strukova
\paper About harmonic analysis of periodic at infinity functions
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2014
\vol 14
\issue 1
\pages 28--38
\mathnet{http://mi.mathnet.ru/isu483}
\crossref{https://doi.org/10.18500/1816-9791-2014-14-1-28-38}
\elib{https://elibrary.ru/item.asp?id=21510770}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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