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

DOI10.3103/S0027132215010052zbMath1321.42015MaRDI QIDQ493884

Denis A. Grafov

Publication date: 4 September 2015

Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)

zbMATH Keywords

equiconvergenceFourier integraltriple trigonometric Fourier series

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Fourier series and coefficients in several variables (42B05)

Cites Work

• Equiconvergence of expansions in multiple trigonometric Fourier series and integrals in the case of a lacunary sequence of partial sums
• Convergence almost everywhere of certain singular integrals and multiple Fourier series
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