Three results in Dunkl theory
classification
🧮 math.CA
keywords
dunkldimensiontranslationsarticleassociatedboundcasecrystallographic
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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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