Cesàro means of Jacobi expansions on the parabolic biangle
| dc.creator | Castell, Wolfgang zu | |
| dc.creator | Filbir, Frank | |
| dc.creator | Xu, Yuan | |
| dc.date | 2008-05-20 | |
| dc.date.accessioned | 2026-07-07T09:39:51Z | |
| dc.date.available | 2026-07-07T09:39:51Z | |
| dc.description | We study Cesàro $(C,δ)$ means for two-variable Jacobi polynomials on the parabolic biangle $B=\{(x_1,x_2)\in{\mathbb R}^2:0\leq x_1^2\leq x_2\leq 1\}$. Using the product formula derived by Koornwinder & Schwartz for this polynomial system, the Cesàro operator can be interpreted as a convolution operator. We then show that the Cesàro $(C,δ)$ means of the orthogonal expansion on the biangle are uniformly bounded if $δ>α+β+1$, $α-\frac 12\geqβ\geq 0$. Furthermore, for $δ\geqα+2β+\frac 32$ the means define positive linear operators. | |
| dc.identifier | https://arxiv.org/abs/0805.3026 | |
| dc.identifier | http://arxiv.org/abs/0805.3026 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/161328 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 42C10; 33C50 | |
| dc.title | Cesàro means of Jacobi expansions on the parabolic biangle | |
| dc.type | text |