Fractional Integration and Fractional Differentiation for d-dimensional Jacobi Expansions
| dc.creator | Balderrama, Cristina | |
| dc.creator | Urbina, Wilfredo | |
| dc.date | 2006-08-25 | |
| dc.date | 2007-03-21 | |
| dc.date.accessioned | 2026-07-07T07:52:51Z | |
| dc.date.available | 2026-07-07T07:52:51Z | |
| dc.description | In this paper we consider an alternative orthogonal decomposition of the space $L^2$ associated to the $d$-dimensional Jacobi measure and obtain an analogous result to P.A. Meyer's Multipliers Theorem for d-dimensional Jacobi expansions. Then we define and study the Fractional Integral, the Fractional Derivative and the Bessel potentials induced by the Jacobi operator. We also obtain a characterization of the potential spaces and a version of Calderon's reproduction formula for the d-dimensional Jacobi measure. | |
| dc.description | 23 pages; V2 Minor changes. Corrected Typos | |
| dc.identifier | https://arxiv.org/abs/math/0608639 | |
| dc.identifier | http://arxiv.org/abs/math/0608639 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/126029 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Primary 42C10 ; Secondary 26B99 | |
| dc.title | Fractional Integration and Fractional Differentiation for d-dimensional Jacobi Expansions | |
| dc.type | text |