Riesz transform and Riesz potentials for Dunkl transform

Thangavelu, Sundaram ; Xu, Yuan (2007) Riesz transform and Riesz potentials for Dunkl transform Journal of Computational and Applied Mathematics, 199 (1). pp. 181-195. ISSN 0377-0427

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Official URL: http://www.sciencedirect.com/science/article/pii/S...

Related URL: http://dx.doi.org/10.1016/j.cam.2005.02.022

Abstract

Analogues of Riesz potentials and Riesz transforms are defined and studied for the Dunkl transform associated with a family of weight functions that are invariant under a reflection group. The Lp boundedness of these operators is established in certain cases.

Item Type:Article
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ID Code:53603
Deposited On:09 Aug 2011 11:41
Last Modified:10 Aug 2011 07:55

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