Thangavelu, Sundaram and Xu, Yuan (2005) Convolution operator and maximal function for the Dunkl transform. In: Journal d'Analyse Mathématique, 97 (1). pp. 25-55.
Full text not available from this repository. (Request a copy)Abstract
For a family of weight functions $h_k$ invariant under a finite reflection group on $R^d$, analysis related to the Dunkl transform is carried out for the weighted $L^p$ spaces. Making use of the generalized translation operator and the weighted convolution, we study the summability of the inverse Dunkl transform, including as examples the Poisson integrals and the Bochner-Riesz means. We also define a maximal function and use it to prove the almost everywhere convergence.
Item Type: | Journal Article |
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Publication: | Journal d'Analyse Mathématique |
Publisher: | Springer |
Additional Information: | Copyright of this article belongs to Springer. |
Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
Date Deposited: | 24 Jul 2008 |
Last Modified: | 27 Aug 2008 13:38 |
URI: | http://eprints.iisc.ac.in/id/eprint/15221 |
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