Characterization of Dini-Lipschitz functions for the Helgason Fourier transform on rank one symmetric spaces

DOI10.1515/apam-2016-0024zbMath1348.42010OpenAlexW2504073362MaRDI QIDQ318885

Salah El Ouadih, Radouan Daher

Publication date: 6 October 2016

Published in: Advances in Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/apam-2016-0024

zbMATH Keywords

symmetric spacesDini-Lipschitz conditiongeneralized translation operatorHelgason Fourier transform

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10)

Related Items (5)

Best trigonometric approximation and Dini-Lipschitz classes ⋮ Titchmarsh theorems for Fourier transforms of Hölder-Lipschitz functions on compact homogeneous manifolds ⋮ Lipschitz conditions in Damek-Ricci spaces ⋮ Discrete Fourier-Laplace transforms of Lipschitz functions in the spaces \(S^{(p,q)}(\sigma^{m-1})\) ⋮ On spherical analogues of the classical theorems of Titchmarsh

Cites Work

• Growth properties of Fourier transforms via moduli of continuity
• Fourier transforms of Dini-Lipschitz functions
• A duality for symmetric spaces with applications to group representations
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