On almost everywhere convergence of lacunary sequences of multiple rectangular Fourier sums

DOI10.1134/S0081543817020055zbMath1372.42005OpenAlexW2611760000MaRDI QIDQ2362416

N. Yu. Antonov

Publication date: 7 July 2017

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543817020055

zbMATH Keywords

convergence almost everywheremultiple trigonometric Fourier series

Mathematics Subject Classification ID

Fourier series and coefficients in several variables (42B05)

Cites Work

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• Lacunary Fourier and Walsh-Fourier series near \(L^1\)
• On the pointwise convergence of the sequence of partial Fourier sums along lacunary subsequences
• On limits of sequences of operators
• On the almost everywhere convergence of sequences of multiple rectangular Fourier sums
• On convergence and growth of partial sums of Fourier series
• An inequality of Paley and convergence a.e. of Walsh-Fourier series
• Convergence almost everywhere of certain singular integrals and multiple Fourier series
• On everywhere divergence of trigonometric Fourier series
• Almost everywhere convergence over cubes of multiple trigonometric Fourier series
• On the convergence of multiple Fourier series

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