Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2019, Number 5, Pages 42–44 (Mi vmumm3625)  
This article is cited in 2 scientific papers (total in 2 papers)

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Some convergence tests for Fourier series with respect to Vilenkin system in the case of unbounded $p_k$

S. M. Voronov

D. Mendeleev University of Chemical Technology of Russia
Full-text PDF (255 kB) Citations (2)
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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 the analogue of Dini test and its corollary obtained earlier for systems determined by bounded sequencees $\{p_k\}$ are proved.
Key words: zero-dimensional group, characters of a group, Fourier series, Dini test, Vilenkin system.
Received: 24.09.2018
English version:
Moscow University Mathematics Bulletin, 2019, Volume 74, Issue 5, Pages 195–197
DOI: https://doi.org/10.3103/S0027132219050048
Bibliographic databases:
Document Type: Article
UDC: 517.518.43
Language: Russian
Citation: S. M. Voronov, “Some convergence tests for Fourier series with respect to Vilenkin system in the case of unbounded $p_k$”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2019, no. 5, 42–44; Moscow University Mathematics Bulletin, 74:5 (2019), 195–197
Citation in format AMSBIB
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\pages 42--44
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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