Fourier transform of Dini-Lipschitz functions on the field of \(p\)-adic numbers

DOI10.1134/S2070046619040058zbMath1440.43009OpenAlexW2995355469WikidataQ126531325 ScholiaQ126531325MaRDI QIDQ2303895

Sergei S. Platonov

Publication date: 6 March 2020

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

Full work available at URL: https://doi.org/10.1134/s2070046619040058

zbMATH Keywords

Fourier transform\(p\)-adic numbersDini-Lipschitz functions

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25)

Related Items (3)

Weighted integrability of \(p\)-adic Fourier transform ⋮ Fourier transform of Dini-Lipschitz functions on locally compact Vilenkin groups ⋮ On the Fourier transform of functions from the classes \(H_p^\alpha ({{\mathbb{R}}})\)

Cites Work

• Unnamed Item
• Unnamed Item
• Absolute convergence of Vilenkin-Fourier series
• On the absolute convergence of Vilenkin-Fourier series
• Absolute convergence of Fourier series on certain groups. II
• Some problems in the theory of approximation of functions on locally compact Vilenkin groups
• Titchmarsh theorems for Fourier transforms of Hölder-Lipschitz functions on compact homogeneous manifolds
• Absolute convergence of Fourier series on certain groups
• Absolute convergence of Fourier series on finite-dimensional groups
• A Characterisation of Lipschitz Classes on Finite Dimensional Groups

This page was built for publication: Fourier transform of Dini-Lipschitz functions on the field of \(p\)-adic numbers