2 citations · 7 across the 6 of their papers we have counts for
6 papers
Deformations of convolution semigroups on commutative hypergroups
Margit Rösler, Michael Voit
It was recently shown by the authors that deformations of hypergroup convolutions w.r.t. positive semicharacters can be used to explain probabilistic connections between the Gelfan…
Positivity of Dunkl's intertwining operator via the trigonometric setting
Margit Rösler, Michael Voit
In this note, a new proof for the positivity of Dunkl's intertwining operator in the crystallographic case is given. It is based on an asymptotic relationship between the Opdam-Che…
Radial multiresolution in dimension three
Holger Rauhut, Margit Rösler
We present a construction of a wavelet-type orthonormal basis for the space of radial -functions in via the concept of a radial multiresolution analysis. The elements o…
SU(d)--biinvariant random walks on SL(d,C) and their Euclidean counterparts
Margit Rösler, Michael Voit
We establish a deformation isomorphism between the algebras of -biinvariant compactly supported measures on $SL(d,\comp)$ and -conjugation invariant measures on the E…
Dunkl operators: Theory and applications
Margit Rösler
These lecture notes are intended as an introduction to the theory of rational Dunkl operators and the associated special functions, with an emphasis on positivity and asymptotics.…
A positive radial product formula for the Dunkl kernel
Margit Rösler
It is an open conjecture that generalized Bessel functions associated with root systems have a positive product formula for non-negative multiplicity parameters of the associated D…