Three results in Dunkl theory

Details Three results in Dunkl theory Three results in Dunkl theory

2009-04-23

arxiv.org/abs/0904.3608v2

Colloq. Math. (2010) 13 pp

Mathematics

Classical Analysis and ODEs

Scientific paper

In this article, we establish first a geometric Paley-Wiener theorem for the
Dunkl transform in the crystallographic case. Next we obtain an optimal bound
for the $L^p\to L^p$ norm of Dunkl translations in dimension 1. Finally we
describe more precisely the support of the distribution associated to Dunkl
translations in higher dimension.

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