Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2015, Number 1, Pages 25–33 (Mi vmumm204)  
This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

Equiconvergence of expansions into triple trigonometric series and Fourier integral for continuous functions with a certain modulus of continuity

D. A. Grafov

Moscow State Region University, Faculty of Physics and Mathematics
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Abstract: We study the problem of equiconvergence on $\mathbb T^3=[-\pi, \pi)^3$ for expansions in a triple trigonometric Fourier series and a Fourier integral of continuous functions with a certain modulus of continuity in the case of a “lacunary sequence of partial sums”.
Key words: multiple trigonometric Fourier series, multiple Fourier integrals, convergence almost everywhere, lacunary sequence.
Funding agency Grant number
Russian Foundation for Basic Research 11-01-00321
Received: 20.09.2013
English version:
Moscow University Mathematics Bulletin, 2015, Volume 70, Issue 1, Pages 24–32
DOI: https://doi.org/10.3103/S0027132215010052
Bibliographic databases:
Document Type: Article
UDC: 517.518
Language: Russian
Citation: D. A. Grafov, “Equiconvergence of expansions into triple trigonometric series and Fourier integral for continuous functions with a certain modulus of continuity”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2015, no. 1, 25–33; Moscow University Mathematics Bulletin, 70:1 (2015), 24–32
Citation in format AMSBIB
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