๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On Spherical Averages of Radial Basis Functions

โœ Scribed by B. J. C. Baxter

Publisher
Springer-Verlag
Year
2008
Tongue
English
Weight
354 KB
Volume
8
Category
Article
ISSN
1615-3375

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

Spherical Maximal Operators on Radial Fu
Spherical Maximal Operators on Radial Functions
โœ Andreas Seeger; Stephen Wainger; James Wright ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 818 KB

## Abstract Let __A~t~f__(__x__) denote the mean of __f__ over a sphere of radius __t__ and center __x__. We prove sharp estimates for the maximal function __M~E~ f__(__X__) = sup~t~โˆˆ~__E__~ |A__tf__(x)| where __E__ is a fixed set in IR^+^ and __f__ is a radial function โˆˆ __L__^__p__^(IR^__d__^). L

On Quasi-interpolation with Radial Basis
On Quasi-interpolation with Radial Basis Functions
โœ M.D. Buhmann ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 975 KB

It has been known since 1987 that quasi-interpolation with radial functions on the integer grid can be exact for certain order polynomials. If, however, we require that the basis functions of the quasi-interpolants be fimite linear combinations of translates of the radial functions, then this can be