Divergence of the Fourier series by generalized Haar systems at points of continuity of a function

DOI10.3103/S1066369X16010059zbMath1397.42024OpenAlexW2393221384MaRDI QIDQ268940

Victor Shcherbakov

Publication date: 18 April 2016

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x16010059

zbMATH Keywords

abelian groupcontinuity on modified segment \([0, 1\)]generalized Haar systemsmodified segment \([0, 1\)]Price systemssystems of characters

Mathematics Subject Classification ID

Other transformations of harmonic type (42C20)

Related Items (2)

Majorants of the Dirichlet kernels and the Dini pointwise tests for generalized Haar systems ⋮ Comparison of V- and S-Dini tests. Counterexamples for symmetric Dini tests with respect to generalized Haar and Walsh systems

Cites Work

• Dini-Lipschitz test and convergence of Fourier series with respect to multiplicative 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)
• A Remarkable Series of Orthogonal Functions (II)
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