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Mathematics of the USSR-Sbornik, 1974, Volume 22, Issue 2, Pages 201–216
DOI: https://doi.org/10.1070/SM1974v022n02ABEH001691 (Mi sm2971) 		 
This article is cited in 10 scientific papers (total in 11 papers)

On the absolute convergence of Fourier series in bounded complete orthonormal systems of functions

S. V. Bochkarev
English version PDF (586 kB) Citations (11)
References:
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DOI: https://doi.org/10.1070/SM1974v022n02ABEH001691
Abstract: The paper is devoted to the absolute convergence of Fourier series of absolutely continuous functions in arbitrary bounded complete orthonormal systems of functions. The results obtained are new even for the classical systems, namely the trigonometric system and the Walsh system.
Bibliography: 8 titles.
Received: 26.04.1973
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1974, Volume 93(135), Number 2, Pages 203–217
Bibliographic databases:
Document Type: Article
UDC: 517.522.3
MSC: 42A28, 42A60
Language: English
Original paper language: Russian
Citation: S. V. Bochkarev, “On the absolute convergence of Fourier series in bounded complete orthonormal systems of functions”, Mat. Sb. (N.S.), 93(135):2 (1974), 203–217; Math. USSR-Sb., 22:2 (1974), 201–216
Citation in format AMSBIB
\Bibitem{Boc74}
\by S.~V.~Bochkarev
\paper On the absolute convergence of Fourier series in bounded complete orthonormal systems of functions
\jour Mat. Sb. (N.S.)
\yr 1974
\vol 93(135)
\issue 2
\pages 203--217
\mathnet{http://mi.mathnet.ru/sm2971}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=346410}
\zmath{https://zbmath.org/?q=an:0285.42015}
\transl
\jour Math. USSR-Sb.
\yr 1974
\vol 22
\issue 2
\pages 201--216
\crossref{https://doi.org/10.1070/SM1974v022n02ABEH001691}
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  • https://www.mathnet.ru/eng/sm/v135/i2/p203
    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Abstract page:403
    Russian version PDF:110
    English version PDF:7
    References:37
    First page:1
     
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