Convolution operator and maximal function for Dunkl transform
| dc.creator | Thangavelu, Sundaram | |
| dc.creator | Xu, Yuan | |
| dc.date | 2004-03-02 | |
| dc.date | 2005-06-29 | |
| dc.date.accessioned | 2026-07-07T05:05:52Z | |
| dc.date.available | 2026-07-07T05:05:52Z | |
| dc.description | For 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. | |
| dc.description | 25 pages, accepted for publication by J. d'Analyse Mathematique | |
| dc.identifier | https://arxiv.org/abs/math/0403049 | |
| dc.identifier | http://arxiv.org/abs/math/0403049 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70333 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 42A38, 42B08, 42B15 | |
| dc.title | Convolution operator and maximal function for Dunkl transform | |
| dc.type | text |