2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/71244In 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-Cherednik kernel and the Dunkl kernel as recently observed by M. de Jeu, and on positivity results of S. Sahi for the Heckman-Opdam polynomials and their non-symmetric counterparts.9 pages; revised and slightly extended version. To appear in Int.Math.Res.NotClassical Analysis and ODEsRepresentation Theory33C52, 33C67Positivity of Dunkl's intertwining operator via the trigonometric settingtext