---
res:
  bibo_abstract:
  - 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. These estimates generalize well-known sharp upper bounds for
    classical one-variable Bessel functions and for spherical functions of Cartan
    motion groups. As a consequence, we prove that the representing measure of Dunkl's
    intertwining operator is absolutely continuous with respect to the Lebesgue measure
    for multiplicities $k> 1/2$ and generic spectral parameter. This settles a conjecture
    posed in [RdJ02] at least for $k>1/2$.@eng
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Lukas
      foaf_name: Langen, Lukas
      foaf_surname: Langen
      foaf_workInfoHomepage: http://www.librecat.org/personId=73664
  dct_date: 2026^xs_gYear
  dct_language: eng
  dct_title: Uniform bounds on the Dunkl kernel@
...