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.
Pointwise differentiability of higher order for distributions
The ridgelet transform of distributions
A Fréchet-Lie group on distributions
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