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Matematicheskie Zametki, 1998, Volume 63, Issue 4, Pages 607–616
DOI: https://doi.org/10.4213/mzm1321 (Mi mzm1321) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Strong means and oscillation of multiple Fourier series in multiplicative systems

V. A. Rodin

Voronezh Institute of Russian Ministry of Internal Affairs
Full-text PDF (210 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm1321
Abstract: In this paper we establish a general assertion relating the oscillation of the sequence of rectangular partial sums of a multiple Fourier series in a multiplicative system to the strong summability of this series. The systems of group generators are assumed to be uniformly bounded. Earlier these assertions were obtained by the author for the Walsh and Chrestenson series.
Received: 07.02.1996
Revised: 19.08.1996
English version:
Mathematical Notes, 1998, Volume 63, Issue 4, Pages 533–541
DOI: https://doi.org/10.1007/BF02311257
Bibliographic databases:
UDC: 517.982+517.512
Language: Russian
Citation: V. A. Rodin, “Strong means and oscillation of multiple Fourier series in multiplicative systems”, Mat. Zametki, 63:4 (1998), 607–616; Math. Notes, 63:4 (1998), 533–541
Citation in format AMSBIB
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\pages 607--616
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\transl
\jour Math. Notes
\yr 1998
\vol 63
\issue 4
\pages 533--541
\crossref{https://doi.org/10.1007/BF02311257}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000075783100036}
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  • https://www.mathnet.ru/eng/mzm1321
  • https://doi.org/10.4213/mzm1321
  • https://www.mathnet.ru/eng/mzm/v63/i4/p607
    • This publication is cited in the following 1 articles:
    1. G. Gát, U. Goginava, “Pointwise Strong Summability of Vilenkin–Fourier Series”, Math. Notes, 108:4 (2020), 499–510  mathnet  mathnet  crossref  isi  scopus
    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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    References:90
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