Equiconvergence of expansions in multiple trigonometric Fourier series and integrals in the case of a lacunary sequence of partial sums

DOI10.1134/S1064562413030071zbMath1278.42007MaRDI QIDQ378201

Denis A. Grafov, Igor L. Bloshanskii

Publication date: 11 November 2013

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

equiconvergencemultiple Fourier series

Mathematics Subject Classification ID

Summability in several variables (42B08)

Related Items (2)

Equiconvergence of expansions in multiple Fourier series and in Fourier integrals with ``lacunary sequences of partial sums ⋮ Equiconvergence of expansions into triple trigonometric series and Fourier integral for continuous functions with a certain modulus of continuity

Cites Work

• Multiple Fourier integral and multiple Fourier series under square summation
• On convergence and growth of partial sums of Fourier series
• Convergence almost everywhere of certain singular integrals and multiple Fourier series
• On the divergence of multiple Fourier series
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