254 citations · 271 across the 14 of their papers we have counts for
17 papers
Multiresolution analysis on spectra of hermitian matrices
Lukas Langen, Margit Rösler
We establish a multiresolution analysis on the space of complex Hermitian matrices which is adapted to invariance under conjugation by the unitary grou…
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…
Elementary symmetric polynomials and martingales for Heckman-Opdam processes
Margit Rösler, Michael Voit
We consider the generators of Heckman-Opdam diffusion processes in the compact and non-compact case in dimensions for root systems of type and , with a multiplicit…
Positive intertwiners for Bessel functions of type B
Margit Rösler, Michael Voit
Let denote Dunkl's intertwining operator for the root sytem with multiplicity with . It was recently shown that the positivity of the op…
Riesz distributions and Laplace transform in the Dunkl setting of type A
Margit Rösler
We study Riesz distributions in the framework of rational Dunkl theory associated with root systems of type A. As an important tool, we employ a Laplace transform involving the ass…
Sonine formulas and intertwining operators in Dunkl theory
Margit Rösler, Michael Voit
Let denote Dunkl's intertwining operator associated with some root system and multiplicity function . For two multiplicities on , we study the operato…