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Hypoelliptic Dunkl Convolution Equations in the Space of Distributions on {\Bbb R}^d

Authors:	Khalifa Trimèche

Institution:	(1) Faculty of Sciences of Tunis, Department of Mathematics, CAMPUS, 1060, Tunis, Tunisia

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

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