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Matematicheskie Zametki, 2011, Volume 89, Issue 5, Pages 780–787
DOI: https://doi.org/10.4213/mzm8607 (Mi mzm8607) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Example of a Divergent Fourier Series in the Vilenkin System

I. V. Polyakov

M. V. Lomonosov Moscow State University
Full-text PDF (420 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm8607
Abstract: We construct an example of a function from the class $Lo(\sqrt{\ln^+L})$ whose Fourier–Vilenkin series diverges almost everywhere.
Keywords: Fourier series, Vilenkin system, Walsh system, Vilenkin function, Dirichlet kernel, Rademacher function.
Received: 05.11.2009
Revised: 10.11.2010
English version:
Mathematical Notes, 2011, Volume 89, Issue 5, Pages 734–740
DOI: https://doi.org/10.1134/S0001434611050130
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: I. V. Polyakov, “Example of a Divergent Fourier Series in the Vilenkin System”, Mat. Zametki, 89:5 (2011), 780–787; Math. Notes, 89:5 (2011), 734–740
Citation in format AMSBIB
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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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    		Математические заметки Mathematical Notes
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