Dominik Brennecken

activity

20222026

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

1 citations · 1 across the 6 of their papers we have counts for

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math.CA2024

Boundedness of the Cherednik kernel and its limit transition from type BC to type A

Dominik Brennecken

We introduce a Cherednik kernel and a hypergeometric function for integral root systems and prove their relation to spherical functions associated with Riemannian symmetric spaces…

math.CA2024

Limits of Bessel functions for root systems as the rank tends to infinity

Dominik Brennecken, Margit Rösler

We study the asymptotic behaviour of Bessel functions associated of root systems of type $A_{n - 1}$ and type $B_{n}$ with positive multiplicities as the rank $n$ tends to infinity. In…