1 citations · 1 across the 6 of their papers we have counts for
6 papers
Remarks on a proof of the absolute continuity of the representing measures for Dunkl's intertwining operator
Dominik Brennecken, Margit Rösler
In the published paper [T10], K. Trimèche presented a proof of the statement that for suitable nonnegative multiplicities and regular arguments, the representing measures of Dunkl'…
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…
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 and type with positive multiplicities as the rank tends to infinity. In…
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…
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…
The Dunkl-Laplace transform and Macdonald's hypergeometric series
Dominik Brennecken, Margit Rösler
We continue a program generalizing classical results from the analysis on symmetric cones to the Dunkl setting for root systems of type A. In particular, we prove a Dunkl-Laplace t…