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Matematicheskie Zametki, 1970, Volume 8, Issue 5, Pages 595–606 (Mi mzm7007)  
This article is cited in 5 scientific papers (total in 5 papers)

Conditions for the localization of partial sums of S. M. Nikol'skii's class of multiple trigonometric Fourier series

V. A. Il'in

M. V. Lomonosov Moscow State University
Full-text PDF (917 kB) Citations (5)
Abstract: Best-possible conditions, in S. M. Nikol'skii's classes $H^\alpha_p$, are established for the localization of rectangular (or, as they are sometimes called, Pringsheim) partial sums of multiple trigonometric Fourier series.
Received: 26.02.1969
English version:
Mathematical Notes, 1970, Volume 8, Issue 5, Pages 803–809
DOI: https://doi.org/10.1007/BF01146936
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: V. A. Il'in, “Conditions for the localization of partial sums of S. M. Nikol'skii's class of multiple trigonometric Fourier series”, Mat. Zametki, 8:5 (1970), 595–606; Math. Notes, 8:5 (1970), 803–809
Citation in format AMSBIB
\Bibitem{Ili70}
\by V.~A.~Il'in
\paper Conditions for the localization of partial sums of S.\,M.~Nikol'skii's class of multiple trigonometric Fourier series
\jour Mat. Zametki
\yr 1970
\vol 8
\issue 5
\pages 595--606
\mathnet{http://mi.mathnet.ru/mzm7007}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=276687}
\zmath{https://zbmath.org/?q=an:0216.39701|0212.09503}
\transl
\jour Math. Notes
\yr 1970
\vol 8
\issue 5
\pages 803--809
\crossref{https://doi.org/10.1007/BF01146936}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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