Necessary conditions for \(L^{1}\)-convergence of double Fourier series

DOI10.1016/J.JMAA.2009.09.030zbMath1182.42009OpenAlexW2010942279MaRDI QIDQ1046506

Ferenc Móricz

Publication date: 22 December 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.09.030

zbMATH Keywords

Fourier coefficientsnecessary conditionconvergence of double Fourier series

Mathematics Subject Classification ID

Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Cites Work

• Remarks on the convergence (boundedness) in the mean of partial sums of a trigonometric series
• On conditions of the average convergence (upper boundedness) of trigonometric series
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