A test of convergence of Fourier series with respect to multiplicative systems, analogous to the Jordan test

DOI10.1007/BF01905084zbMath0705.42023OpenAlexW2973052729MaRDI QIDQ917840

Victor Shcherbakov

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1007/bf01905084

zbMATH Keywords

uniform convergenceVilenkin-Fourier seriespointwise convergenceJordan test

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)

Related Items (1)

On a test of Jordan type for double Fourier series with respect to multiplicative systems

Cites Work

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• On some properties of trigonometric series with monotone decreasing coefficients
• Uniform convergence of Fourier series on groups. I
• The Brauer-Manin Obstruction and III[2]
• A Remarkable Series of Orthogonal Functions (I)

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