On the uniqueness sets of multiple Walsh series for convergence in cubes

DOI10.1134/S000143462103010XzbMath1467.42045OpenAlexW3179009837MaRDI QIDQ2037679

S. F. Lukomskii

Publication date: 8 July 2021

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s000143462103010x

zbMATH Keywords

uniqueness setmultiple Walsh seriesconvergence in cubes

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Convergence and absolute convergence of Fourier and trigonometric series (42A20)

Cites Work

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• \(\lambda\)-convergence of multiple Walsh-Paley series and sets of uniqueness
• On a \(U\)-set for multiple Walsh series
• On uniqueness sets for multiple Walsh series
• Quasi-measures on the groupG^m, Dirichlet sets, and uniqueness problems for multiple Walsh series
• Quasi-measures, Hausdorff $ p$-measures and Walsh and Haar series
• On multiple Walsh series convergent over cubes
• ON CERTAIN CLASSES OF SETS OF UNIQUENESS OF MULTIPLE WALSH SERIES

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