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Mathematics of the USSR-Izvestiya, 1967, Volume 1, Issue 1, Pages 13–23
DOI: https://doi.org/10.1070/IM1967v001n01ABEH000544 (Mi im2526) 		 
This article is cited in 5 scientific papers (total in 6 papers)

Convergence of certain functional series

E. M. Nikishin
English version PDF (385 kB) Citations (6) Russian version article
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DOI: https://doi.org/10.1070/IM1967v001n01ABEH000544
Abstract: Using the idea of extension of the system of functions $\{f_k(x)\}$ to an orthogonal one, the author establishes some assertions relating to convergence, $(C,1)$-summability and unconditional convergence almost everywhere of series in the system $\{f_k(x)\}$.
Received: 28.12.1965
Bibliographic databases:
UDC: 517.5
MSC: 42A20, 42A24
Language: English
Original paper language: Russian
Citation: E. M. Nikishin, “Convergence of certain functional series”, Math. USSR-Izv., 1:1 (1967), 13–23
Citation in format AMSBIB
\Bibitem{Nik67}
\by E.~M.~Nikishin
\paper Convergence of certain functional series
\jour Math. USSR-Izv.
\yr 1967
\vol 1
\issue 1
\pages 13--23
\mathnet{http://mi.mathnet.ru/eng/im2526}
\crossref{https://doi.org/10.1070/IM1967v001n01ABEH000544}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=208259}
\zmath{https://zbmath.org/?q=an:0194.09802}
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  • https://www.mathnet.ru/eng/im/v31/i1/p15
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:513
    Russian version PDF:139
    English version PDF:30
    References:66
    First page:1
     
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