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Matematicheskie Zametki, 2018, Volume 103, Issue 6, Pages 927–935
DOI: https://doi.org/10.4213/mzm11516 (Mi mzm11516) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Summation of Fourier Series on the Infinite-Dimensional Torus

D. V. Fufaev

Lomonosov Moscow State University
Full-text PDF (475 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm11516
Abstract: Conditions for the convergence of Fejér means for functions on the infinite-dimensional torus over cubes and rectangles are obtained, and a generalization of these results to the case of products of abstract measure spaces is proposed.
Keywords: Jessen system, convergence almost everywhere, infinite-dimensional torus, projective tensor product.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation НШ-6222.2018.1
This work was financially supported by the program “Leading Scientific Schools” under grant NSh-6222.2018.1.
Received: 05.01.2017
English version:
Mathematical Notes, 2018, Volume 103, Issue 6, Pages 990–996
DOI: https://doi.org/10.1134/S0001434618050358
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: D. V. Fufaev, “Summation of Fourier Series on the Infinite-Dimensional Torus”, Mat. Zametki, 103:6 (2018), 927–935; Math. Notes, 103:6 (2018), 990–996
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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