Equiconvergence of expansions in multiple Fourier series and in Fourier integrals with ``lacunary sequences of partial sums

DOI10.1134/S0001434616010235zbMath1341.42016MaRDI QIDQ295989

Denis A. Grafov, Igor L. Bloshanskii

Publication date: 14 June 2016

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

multiple Fourier seriesalmost everywhere convergencelacunary sequencemultiple Fourier integrals

Mathematics Subject Classification ID

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
• Multiple Fourier integral and multiple Fourier series under square summation
• Uniform convergence of expansions into a multiple trigonometric Fourier series of a Fourier integral
• Convergence almost everywhere of certain singular integrals and multiple Fourier series
• EQUICONVERGENCE OF EXPANSIONS IN A MULTIPLE FOURIER SERIES AND FOURIER INTEGRAL FOR SUMMATION OVER SQUARES
• On the divergence of multiple Fourier series
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