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20222026
most citedThe Dunkl-Laplace transform and Macdonald's hypergeometric series

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math.CA2023

Dunkl convolution and elliptic regularity for Dunkl operators

Dominik Brennecken

We discuss in which cases the Dunkl convolution of distributions, possibly both with non-compact support, can be defined and study its analytic properties. We prove results on the…

math.CA2023

Hankel transform, K-Bessel functions and zeta distributions in the Dunkl setting

Dominik Brennecken

We study analytic aspects of the Dunkl-type Hankel transform, which goes back to Baker and Forrester and, in an earlier symmetrized version, to Macdonald. Moreover, we introduce a…