Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2022, Number 1, Pages 61–65 (Mi vmumm4451)  
This article is cited in 1 scientific paper (total in 1 paper)

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Uniform convergence of Fourier series over Vilenkin system in the case of unbounded $p_k$

S. M. Voronov

D. Mendeleev University of Chemical Technology of Russia
Full-text PDF (461 kB) Citations (1)
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Abstract: Series with respect to a system of characters of a zero-dimensional compact commutative group are considered. A generalization of an analogue of Salem test and its corollaries, which were earlier obtained in the case of bounded sequence $\{p_k\}$ defining the system, are proved.
Key words: zero-dimensional group, characters of a group, Fourier series, Salem test, Vilenkin system.
Funding agency Grant number
Russian Foundation for Basic Research 20-01-00584
Received: 22.11.2019
Revised: 03.09.2021
English version:
Moscow University Mathematics Bulletin, 2022, Volume 77, Issue 1, Pages 41–45
DOI: https://doi.org/10.3103/S0027132222010077
Bibliographic databases:
Document Type: Article
UDC: 517.518.43
Language: Russian
Citation: S. M. Voronov, “Uniform convergence of Fourier series over Vilenkin system in the case of unbounded $p_k$”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2022, no. 1, 61–65; Moscow University Mathematics Bulletin, 77:1 (2022), 41–45
Citation in format AMSBIB
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\by S.~M.~Voronov
\paper Uniform convergence of Fourier series over Vilenkin system in the case of unbounded $p_k$
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2022
\issue 1
\pages 61--65
\mathnet{http://mi.mathnet.ru/vmumm4451}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4442660}
\zmath{https://zbmath.org/?q=an:7584500}
\transl
\jour Moscow University Mathematics Bulletin
\yr 2022
\vol 77
\issue 1
\pages 41--45
\crossref{https://doi.org/10.3103/S0027132222010077}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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