<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

Publié en ligne: 30 déc. 2016

Pages: 117 - 130

Reçu: 29 févr. 2016

Accepté: 31 juil. 2016

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

Mots clés
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

Publié en ligne: 30 déc. 2016

Pages: 117 - 130

Reçu: 29 févr. 2016

Accepté: 31 juil. 2016

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

Mots clésSymmetric 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.

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