Hilbert Transforms Associated with Dunkl-Hermite Polynomials
| dc.creator | Salem, Néjib Ben | |
| dc.creator | Samaali, Taha | |
| dc.date | 2009-03-25 | |
| dc.date.accessioned | 2026-07-07T12:56:31Z | |
| dc.date.available | 2026-07-07T12:56:31Z | |
| dc.description | We consider expansions of functions in $L^{p}(\mathbb{R},|x|^{2k}dx)$, $1\leq p<+\infty$ with respect to Dunkl-Hermite functions in the rank-one setting. We actually define the heat-diffusion and Poisson integrals in the one-dimensional Dunkl setting and study their properties. Next, we define and deal with Hilbert transforms and conjugate Poisson integrals in the same setting. The formers occur to be Calderón-Zygmund operators and hence their mapping properties follow from general results. | |
| dc.identifier | https://arxiv.org/abs/0903.4369 | |
| dc.identifier | http://arxiv.org/abs/0903.4369 | |
| dc.identifier | SIGMA 5 (2009), 037, 17 pages | |
| dc.identifier | doi:10.3842/SIGMA.2009.037 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/224607 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.title | Hilbert Transforms Associated with Dunkl-Hermite Polynomials | |
| dc.type | text |