<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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 L<sup>2</sup> for functions on noncompact rank one Riemannian symmetric spaces. </p></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.

Characterization of Dini Lipschitz Functions in Terms of Their Helgason Transform

Department of Mathematics, Faculty of Sciences Aïn Chock, University Hassan II, Casablanca,

Annals of West University of Timisoara - Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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...

Characterization of Dini Lipschitz Functions in Terms of Their Helgason Transform

Published Online: Dec 30, 2016

Page range: 117 - 130

Received: Feb 29, 2016

Accepted: Jul 31, 2016

DOI: https://doi.org/10.1515/awutm-2016-0018

Keywords
Symmetric space, Helgason Fourier transform, Dini Lipschitz condition, Generalized translation operator

© Annals of West University of Timisoara - Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Characterization of Dini Lipschitz Functions in Terms of Their Helgason Transform

Published Online: Dec 30, 2016

Page range: 117 - 130

Received: Feb 29, 2016

Accepted: Jul 31, 2016

DOI: https://doi.org/10.1515/awutm-2016-0018

KeywordsSymmetric space, Helgason Fourier transform, Dini Lipschitz condition, Generalized translation operator

© Annals of West University of Timisoara - Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Symmetric space, Helgason Fourier transform, Dini Lipschitz condition, Generalized translation operator