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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2008, Number 11, Pages 27–39 (Mi ivm1774)  
This article is cited in 2 scientific papers (total in 2 papers)

Convergence of series of Fourier coefficients for multiplicative convolutions

S. S. Volosivets

Saratov State University
Full-text PDF (244 kB) Citations (2)
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Abstract: We study the convergence of series with Fourier–Vilenkin coefficients for functions represented as multiplicative convolutions. In the trigonometric case similar results are obtained by C. Onneweer, M. Izumi, and S. Izumi. Moreover, we consider certain analogs of I. Hirshman and W. Rudin transformations of Fourier coefficients. Some results are proved to be unimprovable in a certain sense.
Keywords: absolute convergence, multiplicative systems, multiplicative convolution.
Received: 26.06.2006
Revised: 14.02.2007
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2008, Volume 52, Issue 11, Pages 23–34
DOI: https://doi.org/10.3103/S1066369X08110030
Bibliographic databases:
UDC: 517.518
Language: Russian
Citation: S. S. Volosivets, “Convergence of series of Fourier coefficients for multiplicative convolutions”, Izv. Vyssh. Uchebn. Zaved. Mat., 2008, no. 11, 27–39; Russian Math. (Iz. VUZ), 52:11 (2008), 23–34
Citation in format AMSBIB
\Bibitem{Vol08}
\by S.~S.~Volosivets
\paper Convergence of series of Fourier coefficients for multiplicative convolutions
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2008
\issue 11
\pages 27--39
\mathnet{http://mi.mathnet.ru/ivm1774}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2530582}
\zmath{https://zbmath.org/?q=an:1158.42304}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2008
\vol 52
\issue 11
\pages 23--34
\crossref{https://doi.org/10.3103/S1066369X08110030}
Linking options:
  • https://www.mathnet.ru/eng/ivm1774
  • https://www.mathnet.ru/eng/ivm/y2008/i11/p27
    • This publication is cited in the following 2 articles:
    1. S. S. Volosivets, M. A. Kuznetsova, “Multiplicative convolutions of functions from Lorentz spaces and convergence of series from Fourier–Vilenkin coefficients”, Russian Math. (Iz. VUZ), 61:5 (2017), 26–37  mathnet  crossref  isi
    2. B. I. Golubov, S. S. Volosivets, Industrial and Applied Mathematics, Industrial Mathematics and Complex Systems, 2017, 129  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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