Hypoelliptic Dunkl equations in the space of distributions on $R^d$

Abstract

In this paper we define and study the Dunkl convolution product and the Dunkl transform on spaces of distributions on ${\mathbb{R}}^d$. By using the main results obtained, we study the hypoelliptic Dunkl convolution equations in the space of distributions.

References in corpus (2)

• Exact operator solution of the Calogero-Sutherland model
• Convolution operator and maximal function for Dunkl transform