Regularity of multivariate refinable functions

被引：59

作者：

Cohen, A

Gröchenig, K

Villemoes, LF

机构：

[1] Univ Paris 09, URA CNRS 749, Ctr Rech Math Decis, F-75775 Paris 16, France

[2] Univ Connecticut, Dept Math, Storrs, CT 06269 USA

[3] Royal Inst Technol, Dept Math, S-10044 Stockholm, Sweden

来源：

CONSTRUCTIVE APPROXIMATION | 1999年 / 15卷 / 02期

关键词：

refinable functions; anisotropic Sobolev spaces; regularity; transfer operator; wavelets; Strang-Fix conditions;

D O I：

10.1007/s003659900106

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The regularity of a univariate compactly supported refinable function is known to be related to the spectral properties of an associated transfer operator. In the case of multivariate refinable functions with a general dilation matrix A,although factorization techniques, which are typically used in the univariate setting, are no longer applicable, we derive similar results that also depend on the spectral properties of A.

引用

页码：241 / 255

页数：15

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