Multiscale approximation for functions in arbitrary Sobolev spaces by scaled radial basis functions on the unit sphere

被引：12

作者：

Le Gia, Q. T. ^{[1
]}

Sloan, I. H. ^{[1
]}

Wendland, H. ^{[2
]}

机构：

[1] Univ New S Wales, Sch Math & Stat, Sydney, NSW, Australia

[2] Univ Oxford, Math Inst, Oxford OX1 2JD, England

来源：

APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS | 2012年 / 32卷 / 03期

基金：

澳大利亚研究理事会;

关键词：

Multiscale approximation; Radial basis function; Unit sphere; SCATTERED-DATA INTERPOLATION;

D O I：

10.1016/j.acha.2011.07.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove convergence results for multiscale approximation using compactly supported radial basis functions restricted to the unit sphere. for target functions outside the reproducing kernel Hilbert space of the employed kernel. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：401 / 412

页数：12

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