On the Parseval equality and the Dini-Lipschitz condition with respect to the Vilenkin system

DOI10.1007/BF02350524zbMath0555.46009OpenAlexW2318978685MaRDI QIDQ760639

D. Kharzeev

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1007/bf02350524

zbMATH Keywords

Fourier coefficientsVilenkin groupcharacter systemDini-Lipschitz conditionParseval equality

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Inner product spaces and their generalizations, Hilbert spaces (46C99)

Cites Work

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• On \(L_1\)-convergence of Walsh-Fourier series
• Uniform convergence of Fourier series on groups. I
• On the convergence of Vilenkin-Fourier series
• On Moduli of Continuity and Divergence of Fourier Series on Groups