Convergence of a subsequence of triangular partial sums of double Walsh-Fourier series

DOI10.3103/S1068362319040034zbMath1431.42050OpenAlexW2970852160MaRDI QIDQ2290084

György Gát, Ushangi Goginava

Publication date: 27 January 2020

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1068362319040034

zbMATH Keywords

double Walsh-Fourier seriesconvergence in measuretriangular partial sum

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Cites Work

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• Divergent triangular sums of double trigonometric Fourier series
• Convergence in measure of logarithmic means of quadratical partial sums of double Walsh-Fourier series
• The Fourier-Walsh subsequence of partial sums
• Convergence almost everywhere of certain singular integrals and multiple Fourier series
• On the divergence of triangular and eccentric spherical sums of double Fourier series
• Almost Everywhere Divergence of Multiple Walsh-Fourier Series
• The weak type inequality for the Walsh system
• On the convergence of multiple Fourier series

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