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
Uniform bounds on the Dunkl kernel
Lukas Langen
For an arbitrary reduced root system, we give upper bounds for the Dunkl kernel with regular spectral parameter and its derivatives, which are uniform in the spatial variable. Thes…
math.CA2024
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…