On the growth rate of arbitrary sequences of double rectangular Fourier sums

DOI10.1134/S0081543811050026zbMath1237.42004OpenAlexW1994579652MaRDI QIDQ643829

N. Yu. Antonov

Publication date: 2 November 2011

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

Full work available at URL: https://doi.org/10.1134/s0081543811050026

zbMATH Keywords

almost everywhere convergencemultiple trigonometric Fourier series

Mathematics Subject Classification ID

Fourier series and coefficients in several variables (42B05) Summability in several variables (42B08) Summability and absolute summability of Fourier and trigonometric series (42A24)

Related Items (1)

A note on estimates for the growth order of sequences of multiple rectangular Fourier sums

Cites Work

• On limits of sequences of operators
• 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 the convergence of multiple Fourier series

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