Localized polynomial frames on the ball
| dc.creator | Petrushev, Pencho | |
| dc.creator | Xu, Yuan | |
| dc.date | 2006-11-06 | |
| dc.date.accessioned | 2026-07-07T07:32:34Z | |
| dc.date.available | 2026-07-07T07:32:34Z | |
| dc.description | Almost exponentially localized polynomial kernels are constructed on the unit ball $B^d$ in $\RR^d$ with weights %functions $W_μ(x)= (1-|x|^2)^{μ-1/2}$, $μ\ge 0$, by smoothing out the coefficients of the corresponding orthogonal projectors. These kernels are utilized to the design of cubature formulae on $B^d$ with respect to $W_μ(x)$ and to the construction of polynomial tight frames in $L^2(B^d, W_μ)$ (called needlets) whose elements have nearly exponential localization. | |
| dc.description | 26 pages | |
| dc.identifier | https://arxiv.org/abs/math/0611145 | |
| dc.identifier | http://arxiv.org/abs/math/0611145 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/119158 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 42C40, 42B35 | |
| dc.title | Localized polynomial frames on the ball | |
| dc.type | text |