Sonine Transform Associated to the Dunkl Kernel on the Real Line
| dc.creator | Soltani, Fethi | |
| dc.date | 2008-12-26 | |
| dc.date.accessioned | 2026-07-07T12:22:50Z | |
| dc.date.available | 2026-07-07T12:22:50Z | |
| dc.description | We consider the Dunkl intertwining operator $V_α$ and its dual ${}^tV_α$, we define and study the Dunkl Sonine operator and its dual on $\mathbb{R}$. Next, we introduce complex powers of the Dunkl Laplacian $Δ_α$ and establish inversion formulas for the Dunkl Sonine operator $S_{α,β}$ and its dual ${}^tS_{α,β}$. Also, we give a Plancherel formula for the operator ${}^tS_{α,β}$. | |
| dc.description | This is a contribution to the Special Issue on Dunkl Operators and Related Topics, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/ | |
| dc.identifier | https://arxiv.org/abs/0812.4666 | |
| dc.identifier | http://arxiv.org/abs/0812.4666 | |
| dc.identifier | SIGMA 4 (2008), 092, 14 pages | |
| dc.identifier | doi:10.3842/SIGMA.2008.092 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/213786 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.title | Sonine Transform Associated to the Dunkl Kernel on the Real Line | |
| dc.type | text |