Riesz transform and Riesz potentials for Dunkl transform
Classical Analysis and ODEs
2007-05-23 v1
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 boundedness of these operators is established in certain cases.
Cite
@article{arxiv.math/0412037,
title = {Riesz transform and Riesz potentials for Dunkl transform},
author = {Sundaram Thangavelu and Yuan Xu},
journal= {arXiv preprint arXiv:math/0412037},
year = {2007}
}
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16 pages