Strictly positive definite functions on generalized motion groups

被引：2

作者：

Castell, Wolfgang zu ^{[1
]}

Filbir, Frank ^{[1
]}

机构：

[1] GSF, Natl Res Ctr Environm & Hlth, Inst Biomath & Biometry, D-85764 Neuherberg, Germany

来源：

ALGORITHMS FOR APPROXIMATION, PROCEEDINGS | 2007年

关键词：

D O I：

10.1007/978-3-540-46551-5_27

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

Strictly positive definite functions are used as basis functions for approximation methods in various contexts. Using an interpretation of Bochner's theorem from abstract harmonic analysis we give a sufficient condition for strictly positive definite functions on generalized motion groups. As an example we consider reflection invariant functions on Euclidean spaces.

引用

页码：349 / +

页数：2

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