2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/70333For a family of weight functions, $h_κ$, invariant under a finite reflection group on $\RR^d$, analysis related to the Dunkl transform is carried out for the weighted $L^p$ spaces. Making use of the generalized translation operator and the weighted convolution, we study the summability of the inverse Dunkl transform, including as examples the Poisson integrals and the Bochner-Riesz means. We also define a maximal function and use it to prove the almost everywhere convergence.25 pages, accepted for publication by J. d'Analyse MathematiqueClassical Analysis and ODEs42A38, 42B08, 42B15text