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Sibirskii Matematicheskii Zhurnal, 2018, Volume 59, Number 1, Pages 86–94
DOI: https://doi.org/10.17377/smzh.2018.59.108 (Mi smj2956) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Unconditional convergence of Fourier series for functions of bounded variation

L. D. Gogoladze, V. Sh. Tsagareishvili

Tbilisi State University, Tbilisi, Georgia
Full-text PDF (267 kB) Citations (8)
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DOI: https://doi.org/10.17377/smzh.2018.59.108
Abstract: This article concerns the unconditional convergence a.e. of Fourier series with respect to general orthonormal systems. We find certain conditions to be satisfied by the functions in the orthonormal system so that the Fourier series of each function of finite variation unconditionally converge a.e. The results are best possible.
Keywords: Fourier coefficients, function of finite variation, unconditional convergence.
Received: 23.03.2017
English version:
Siberian Mathematical Journal, 2018, Volume 59, Issue 1, Pages 65–72
DOI: https://doi.org/10.1134/S0037446618010081
Bibliographic databases:
Document Type: Article
UDC: 517.521
MSC: 35R30
Language: Russian
Citation: L. D. Gogoladze, V. Sh. Tsagareishvili, “Unconditional convergence of Fourier series for functions of bounded variation”, Sibirsk. Mat. Zh., 59:1 (2018), 86–94; Siberian Math. J., 59:1 (2018), 65–72
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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    Abstract page:198
    Full-text PDF :51
    References:28
    First page:3
     
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