Dini-Lipschitz test and convergence of Fourier series with respect to multiplicative systems

DOI10.1007/BF02350523zbMath0563.42015MaRDI QIDQ1057443

Victor Shcherbakov

Publication date: 1984

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

zbMATH Keywords

convergenceDini-Lipschitz conditionmultiplicative Vilenkin systems

Mathematics Subject Classification ID

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

Related Items (5)

Divergence of the Fourier series by generalized Haar systems at points of continuity of a function ⋮ Majorants of the Dirichlet kernels and the Dini pointwise tests for generalized Haar systems ⋮ Norm convergence of double Fourier series on unbounded Vilenkin groups ⋮ (C,1)-summability of Fourier series with respect to a multiplicative system of functions ⋮ On a test of Jordan type for double Fourier series with respect to multiplicative systems

Cites Work

• Unnamed Item
• Uniform convergence of Fourier series on groups. I
• The Brauer-Manin Obstruction and III[2]
• On the convergence of Vilenkin-Fourier series
• On Moduli of Continuity and Divergence of Fourier Series on Groups
• On the Walsh Functions

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