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math.CA2026
Dunkl theory, convolution algebras, and related Markov processes
Margit Rösler, Michael Voit
These lecture notes are intended as an introduction to the theory of rational Dunkl operators, the associated special functions and related Markov processes with an emphasis on exa…
math.CA2026
Littlewood-Paley theory for orthogonal expansions associated with root systems
Lukas Langen, Margit Rösler
We introduce the non-symmetric heat and Poisson semigroups associated with the Heckman-Opdam Laplacian in the compact setting. Based on the Poisson semigroup, we study several Litt…
math.CA2026
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'…