Characterization of Dini Lipschitz Functions in Terms of Their Helgason Transform

Ouadih, Salah El; Daher, Radouan

doi:10.1515/awutm-2016-0018

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Characterization of Dini Lipschitz Functions in Terms of Their Helgason Transform

Annals of West University of Timisoara - Mathematics and Computer Science

Volume 54 (2016): Issue 2 (December 2016)

By: Salah El Ouadih and Radouan Daher

Open Access

|Dec 2016

Abstract

In this paper, using a generalized translation operator, we obtain an analog of Younis Theorem 5.2 in [6] for the Helgason Fourier transform of a set of functions satisfying the Dini Lipschitz condition in the space L² for functions on noncompact rank one Riemannian symmetric spaces.

References

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DOI: https://doi.org/10.1515/awutm-2016-0018 | Journal eISSN: 1841-3307 | Journal ISSN: 1841-3293

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Language: English

Page range: 117 - 130

Submitted on: Feb 29, 2016

Accepted on: Jul 31, 2016

Published on: Dec 30, 2016

Published by: West University of Timisoara

In partnership with: Paradigm Publishing Services

Publication frequency: Volume open

Keywords:

Symmetric space,

Helgason Fourier transform,

Dini Lipschitz condition,

Generalized translation operator

Related subjects:

Mathematics,

General mathematics

© 2016 Salah El Ouadih, Radouan Daher, published by West University of Timisoara
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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