Entropy and almost everywhere convergence of Fourier series

DOI10.2748/TMJ/1178229359zbMath0497.42005OpenAlexW2000992427MaRDI QIDQ1170711

Shuichi Sato

Publication date: 1981

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178229359

zbMATH Keywords

entropyalmost everywhere convergence

Mathematics Subject Classification ID

Convergence and absolute convergence of Fourier and trigonometric series (42A20) Fourier series and coefficients in several variables (42B05) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (1)

Conjectures and problems on Bochner-Riesz means

Cites Work

• Localization and summability of multiple Fourier series
• On certain exponential sums arising in multiple Fourier series
• A theory of entropy in Fourier analysis
• On convergence and growth of partial sums of Fourier series
• An inequality of Paley and convergence a.e. of Walsh-Fourier series
• Summation of Multiple Fourier Series by Spherical Means

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