Majorants of the Dirichlet kernels and the Dini pointwise tests for generalized Haar systems

DOI10.1134/S0001434617030154zbMath1440.42137MaRDI QIDQ2364554

Victor Shcherbakov

Publication date: 21 July 2017

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

zbMATH Keywords

abelian groupgeneralized Haar systemDirichlet kernelsDini testprice system1\)]continuity on the modified closed interval \([0modified closed interval \([0system of characters

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)

Comparison of V- and S-Dini tests. Counterexamples for symmetric Dini tests with respect to generalized Haar and Walsh systems

Cites Work

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• Pointwise convergence of Fourier series with respect to multiplicative systems
• Dini-Lipschitz test and convergence of Fourier series with respect to multiplicative systems
• Convergence of series with respect to generalized Haar systems
• Uniform convergence of Fourier series on groups. I
• A class of generalized Walsh functions
• Certain Groups of Orthonormal Step Functions
• A Remarkable Series of Orthogonal Functions (I)

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