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Sbornik: Mathematics, 2019, Volume 210, Issue 6, Pages 783–808
DOI: https://doi.org/10.1070/SM9033 (Mi sm9033) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On changes of variable that preserve convergence and absolute convergence of Fourier-Haar series

K. R. Bitsadze

Ivane Javakhishvili Tbilisi State University, Tbilisi, Georgia
English version PDF (536 kB) Citations (2) Russian version article
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DOI: https://doi.org/10.1070/SM9033
Abstract: It is established that among all the differentiable homeomorphic changes of variable only the functions $\varphi_1(x)=x$ and $\varphi_2(x)=1-x$ for $x\in[0,1]$ preserve convergence everywhere of the Fourier-Haar series. The same is true for absolute convergence everywhere.
Bibliography: 8 titles.
Keywords: Fourier-Haar series, changes of variable.
Received: 01.11.2017 and 31.07.2018
Bibliographic databases:
Document Type: Article
UDC: 517.518.45
MSC: 42C10
Language: English
Original paper language: Russian
Citation: K. R. Bitsadze, “On changes of variable that preserve convergence and absolute convergence of Fourier-Haar series”, Sb. Math., 210:6 (2019), 783–808
Citation in format AMSBIB
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\pages 783--808
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  • https://doi.org/10.1070/SM9033
  • https://www.mathnet.ru/eng/sm/v210/i6/p30
    • 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
    		Математический сборник Sbornik: Mathematics
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    Abstract page:431
    Russian version PDF:42
    English version PDF:11
    References:52
    First page:24
     
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