Three results in Dunkl analysis
Tom 118 / 2010
Colloquium Mathematicum 118 (2010), 299-312
MSC: Primary 33C52; Secondary 42B10, 43A32, 33C80, 22E30.
DOI: 10.4064/cm118-1-16
Streszczenie
We first establish a geometric Paley–Wiener theorem for the Dunkl transform in the crystallographic case. Next we obtain an optimal bound for the norm of Dunkl translations in dimension 1. Finally, we describe more precisely the support of the distribution associated to Dunkl translations in higher dimension.