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

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Abstract

We study the problem of equiconvergence on {ie24-1} 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”.

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Authors and Affiliations

  1. Faculty of Mechanics and Mathematics, Moscow State University, Leninskie Gory, Moscow, 119991, Russia

    D. A. Grafov

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  1. D. A. Grafov
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Correspondence to D. A. Grafov.

Additional information

Original Russian Text © D.A. Grafov, 2015, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2015, Vol. 70, No. 1, pp. 25–33.

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Grafov, D.A. Equiconvergence of expansions into triple trigonometric series and Fourier integral for continuous functions with a certain modulus of continuity. Moscow Univ. Math. Bull. 70, 24–32 (2015). https://doi.org/10.3103/S0027132215010052

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  • DOI: https://doi.org/10.3103/S0027132215010052

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