Fourier transform of Dini-Lipschitz functions on locally compact Vilenkin groups

DOI10.1134/S207004662003005XzbMath1465.43003OpenAlexW3042410781MaRDI QIDQ2220945

Sergei S. Platonov

Publication date: 25 January 2021

Published in: \(p\)-Adic Numbers, Ultrametric Analysis, and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s207004662003005x

zbMATH Keywords

Fourier transformLipschitz conditionDini-Lipschitz functionslocally compact Vilenkin groups

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25)

Related Items

Step wavelets on Vilenkin groups, On the Fourier transform of functions from the classes \(H_p^\alpha ({{\mathbb{R}}})\)

Cites Work

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• The boundedness of multilinear commutators on locally compact Vilenkin groups
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• Some problems in the theory of approximation of functions on locally compact Vilenkin groups
• Fourier transform of Dini-Lipschitz functions on the field of \(p\)-adic numbers
• Titchmarsh theorems for Fourier transforms of Hölder-Lipschitz functions on compact homogeneous manifolds
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