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Mathematics of the USSR-Sbornik, 1981, Volume 38, Issue 2, Pages 231–244
DOI: https://doi.org/10.1070/SM1981v038n02ABEH001325 (Mi sm2446) 		 
This article is cited in 9 scientific papers (total in 9 papers)

On convergence in the mean of Fourier series

G. A. Fomin
English version PDF (621 kB) Citations (9) Russian version article
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DOI: https://doi.org/10.1070/SM1981v038n02ABEH001325
Abstract: Various necessary and sufficient conditions are established for the convergence of the Fourier series of a function $f(x)\in L_{2\pi}$ in the norm of the space $L_{2\pi}$ (convergence in mean with exponent $1$).
Bibliography: 16 titles.
Received: 06.02.1978
Bibliographic databases:
UDC: 517.522.3
MSC: Primary 42A20; Secondary 42A32
Language: English
Original paper language: Russian
Citation: G. A. Fomin, “On convergence in the mean of Fourier series”, Math. USSR-Sb., 38:2 (1981), 231–244
Citation in format AMSBIB
\Bibitem{Fom79}
\by G.~A.~Fomin
\paper On convergence in the mean of Fourier series
\jour Math. USSR-Sb.
\yr 1981
\vol 38
\issue 2
\pages 231--244
\mathnet{http://mi.mathnet.ru/eng/sm2446}
\crossref{https://doi.org/10.1070/SM1981v038n02ABEH001325}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=552114}
\zmath{https://zbmath.org/?q=an:0444.42003|0425.42004}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1981LG68600005}
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  • https://www.mathnet.ru/eng/sm/v152/i2/p251
    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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