Almost everywhere convergence of subsequence of quadratic partial sums of two-dimensional Walsh-Fourier series

DOI10.1007/s10476-018-0107-2zbMath1413.42052OpenAlexW2800562181MaRDI QIDQ1748011

György Gát, Ushangi Goginava

Publication date: 27 April 2018

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10476-018-0107-2

zbMATH Keywords

almost everywhere convergenceWalsh-Fourier seriesquadratic partial sum

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Cites Work

• On almost everywhere convergence and divergence of Marcinkiewicz-like means of integrable functions with respect to the two-dimensional Walsh system
• The Fourier-Walsh subsequence of partial sums
• On the Divergence of Fourier Series
• Removable singularities of plurisubharmonic functions of class $ \operatorname{Lip}_\alpha$
• On the divergence of the $(C,1)$ means of double Walsh-Fourier series
• Summability of Multi-Dimensional Fourier Series and Hardy Spaces
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