Sobolev orthogonal polynomials defined via gradient on the unit ball
| dc.creator | Xu, Yuan | |
| dc.date | 2006-12-18 | |
| dc.date.accessioned | 2026-07-07T07:35:44Z | |
| dc.date.available | 2026-07-07T07:35:44Z | |
| dc.description | An explicit family of polynomials on the unit ball $B^d$ of $\RR^d$ is constructed, so that it is an orthonormal family with respect to the inner product $$ < f,g > = ρ\int_{B^d}\nabla f(x)\cdot \nabla g(x) dx + \CL (fg), $$ where $ρ>0$, $\nabla$ is the gradient, and $\CL(fg)$ is either the inner product on the sphere $S^{d-1}$ or $f(0)g(0)$. | |
| dc.description | 12 pages | |
| dc.identifier | https://arxiv.org/abs/math/0612527 | |
| dc.identifier | http://arxiv.org/abs/math/0612527 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/120192 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 42A38, 42B08, 42B15 | |
| dc.title | Sobolev orthogonal polynomials defined via gradient on the unit ball | |
| dc.type | text |