3 papers
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'…
math.CA2024
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…