(δ,γ)-Jacobi-Dunkl Lipschitz Functions in the Space L2(R,Aα,β(x)dx)

Using a generalized Jacobi-Dunkl translation, we obtain an analog of Theorem 5.2 in Younis paper [7] for the Jacobi-Dunkl transform for functions satisfying the (δ,γ)-Jacobi-Dunkl Lipschitz condition in the space L2(R,Aα,β(x)dx), α ≥ β ≥−1/2, α ≠−1/2.

Bibliographic Details
Main Authors: R. Daher, S. El Ouadih
Format: Article
Language:English
Published: Etamaths Publishing 2015-08-01
Series:International Journal of Analysis and Applications
Online Access:http://www.etamaths.com/index.php/ijaa/article/view/558
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author R. Daher
S. El Ouadih
author_facet R. Daher
S. El Ouadih
author_sort R. Daher
collection DOAJ
description Using a generalized Jacobi-Dunkl translation, we obtain an analog of Theorem 5.2 in Younis paper [7] for the Jacobi-Dunkl transform for functions satisfying the (δ,γ)-Jacobi-Dunkl Lipschitz condition in the space L2(R,Aα,β(x)dx), α ≥ β ≥−1/2, α ≠−1/2.
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spelling doaj.art-55b41e0bc0c24130bc7021c80b08165c2022-12-22T02:05:19ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392015-08-0182123129136(δ,γ)-Jacobi-Dunkl Lipschitz Functions in the Space L2(R,Aα,β(x)dx)R. DaherS. El OuadihUsing a generalized Jacobi-Dunkl translation, we obtain an analog of Theorem 5.2 in Younis paper [7] for the Jacobi-Dunkl transform for functions satisfying the (δ,γ)-Jacobi-Dunkl Lipschitz condition in the space L2(R,Aα,β(x)dx), α ≥ β ≥−1/2, α ≠−1/2.http://www.etamaths.com/index.php/ijaa/article/view/558
spellingShingle R. Daher
S. El Ouadih
(δ,γ)-Jacobi-Dunkl Lipschitz Functions in the Space L2(R,Aα,β(x)dx)
International Journal of Analysis and Applications
title (δ,γ)-Jacobi-Dunkl Lipschitz Functions in the Space L2(R,Aα,β(x)dx)
title_full (δ,γ)-Jacobi-Dunkl Lipschitz Functions in the Space L2(R,Aα,β(x)dx)
title_fullStr (δ,γ)-Jacobi-Dunkl Lipschitz Functions in the Space L2(R,Aα,β(x)dx)
title_full_unstemmed (δ,γ)-Jacobi-Dunkl Lipschitz Functions in the Space L2(R,Aα,β(x)dx)
title_short (δ,γ)-Jacobi-Dunkl Lipschitz Functions in the Space L2(R,Aα,β(x)dx)
title_sort δ γ jacobi dunkl lipschitz functions in the space l2 r aα β x dx
url http://www.etamaths.com/index.php/ijaa/article/view/558
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AT selouadih dgjacobidunkllipschitzfunctionsinthespacel2raabxdx