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Matematicheskie Zametki, 2011, Volume 90, Issue 1, Pages 22–33
DOI: https://doi.org/10.4213/mzm8628 (Mi mzm8628) 		 
This article is cited in 7 scientific papers (total in 7 papers)

The Steinhaus Theorem on Equiconvergence for Functional-Differential Operators

M. Sh. Burlutskayaa, A. P. Khromovb

a Voronezh State University
b Saratov State University named after N. G. Chernyshevsky
Full-text PDF (477 kB) Citations (7)
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DOI: https://doi.org/10.4213/mzm8628
Abstract: We establish the equiconvergence of the series $S(af)$ and $a(x)S(f)$, where $S(f)$ is the Fourier series in the eigenfunctions and associated functions of a certain functional-differential operator with involution.
Keywords: Steinhaus theorem, equiconvergence of series, functional-differential operator, Fourier series, Dirac operator, Lipschitz condition.
Received: 29.04.2009
English version:
Mathematical Notes, 2011, Volume 90, Issue 1, Pages 20–31
DOI: https://doi.org/10.1134/S0001434611070030
Bibliographic databases:
Document Type: Article
UDC: 517.984
Language: Russian
Citation: M. Sh. Burlutskaya, A. P. Khromov, “The Steinhaus Theorem on Equiconvergence for Functional-Differential Operators”, Mat. Zametki, 90:1 (2011), 22–33; Math. Notes, 90:1 (2011), 20–31
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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