On the almost everywhere convergence of multiple Fourier-Haar series

DOI10.3103/S1068362319050054zbMath1437.42042OpenAlexW2982155398MaRDI QIDQ2173220

Yanyan Li

Publication date: 22 April 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/s1068362319050054

zbMATH Keywords

almost everywhere convergencelacunar seriesmultiple Fourier-Haar series

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

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Cites Work

• On convergence properties of tensor products of some operator sequences
• On the convergence in a restricted sense of multiple series
• Differentiation of integrals in \(\mathbb{R}^n\)
• On the divergence of spherical sums of double Fourier-Haar series
• The convergence of double Fourier-Haar series over homothetic copies of sets
• On the convergence of multiple Haar series
• On the divergence of multiple Fourier-Haar series
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