On discrete orthogonal polynomials of several variables
| dc.creator | Xu, Yuan | |
| dc.date | 2004-01-29 | |
| dc.date | 2004-04-09 | |
| dc.date.accessioned | 2026-07-07T05:04:57Z | |
| dc.date.available | 2026-07-07T05:04:57Z | |
| dc.description | Let $V$ be a set of isolated points in $\RR^d$. Define a linear functional $\CL$ on the space of real polynomials restricted on $V$, $\CL f = \sum_{x \in V} f(x)ρ(x)$, where $ρ$ is a nonzero function on $V$. Polynomial subspaces that contain discrete orthogonal polynomials with respect to the bilinear form $<f,g> = \CL(f g)$ are identified. One result shows that the discrete orthogonal polynomials still satisfy a three-term relation and Favard's theorem holds in this general setting. | |
| dc.description | 15 pages, 2 figures | |
| dc.identifier | https://arxiv.org/abs/math/0401418 | |
| dc.identifier | http://arxiv.org/abs/math/0401418 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70007 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.title | On discrete orthogonal polynomials of several variables | |
| dc.type | text |