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Russian Mathematical Surveys, 1972, Volume 27, Issue 2, Pages 55–81
DOI: https://doi.org/10.1070/RM1972v027n02ABEH001371 (Mi rm5029) 		 
This article is cited in 18 scientific papers (total in 18 papers)

Asolute convergence of Fourier series with respect to complete orthonormal systems

S. V. Bochkarev
English version PDF (944 kB) Citations (18)
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DOI: https://doi.org/10.1070/RM1972v027n02ABEH001371
Abstract: This article gives a survey of results on absolute convergence of Fourier series with respect to the trigonometric system, the Haar system and arbitrary complete orthonormal systems. It clarifies which of the propositions on absolute convergence of trigonometric Fourier series and Fourier–Haar series remain valid for arbitrary complete orthonormal systems
Received: 06.12.1971
Russian version:
Uspekhi Matematicheskikh Nauk, 1972, Volume 27, Issue 2(164), Pages 53–76
Bibliographic databases:
Document Type: Article
UDC: 517. 512. 2/.4
MSC: 42A20, 28C10, 42A65
Language: English
Original paper language: Russian
Citation: S. V. Bochkarev, “Asolute convergence of Fourier series with respect to complete orthonormal systems”, Uspekhi Mat. Nauk, 27:2(164) (1972), 53–76; Russian Math. Surveys, 27:2 (1972), 55–81
Citation in format AMSBIB
\Bibitem{Boc72}
\by S.~V.~Bochkarev
\paper Asolute convergence of Fourier series with respect to complete orthonormal systems
\jour Uspekhi Mat. Nauk
\yr 1972
\vol 27
\issue 2(164)
\pages 53--76
\mathnet{http://mi.mathnet.ru/rm5029}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=394024}
\zmath{https://zbmath.org/?q=an:0236.42014}
\transl
\jour Russian Math. Surveys
\yr 1972
\vol 27
\issue 2
\pages 55--81
\crossref{https://doi.org/10.1070/RM1972v027n02ABEH001371}
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  • https://www.mathnet.ru/eng/rm/v27/i2/p53
    • This publication is cited in the following 18 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Abstract page:798
    Russian version PDF:419
    English version PDF:28
    References:71
    First page:3
     
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