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Riesz transform and Riesz potentials for Dunkl transform

Sundaram Thangavelu·Yuan Xu
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Abstract

Analogous of Riesz potentials and Riesz transforms are defined and studied for the Dunkl transform associated with a family of weighted functions that are invariant under a reflection group. The $L^p$ boundedness of these operators is established in certain cases.

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Sundaram Thangavelu, Yuan Xu. 2004-12-01. Riesz transform and Riesz potentials for Dunkl transform. https://arxiv.org/abs/math/0412037

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