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math.CA2004★ 2 cited
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…
math.CA2002
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.…
math.CA2002★ 1 cited
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…