SOBOLEV CHARACTERIZATION OF SOLUTIONS OF DILATION EQUATIONS

被引：94

作者：

EIROLA, T

机构：

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 1992年 / 23卷 / 04期

关键词：

WAVELETS; ITERATIVE INTERPOLATION; POSITIVE OPERATORS;

D O I：

10.1137/0523058

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This work studies the smoothness of the solutions of dilation equations, which are encountered in the multiresolution analysis and iterative interpolation processes. Sharp limit of the Sobolev exponent of the solution is given as a function of the spectral radius of an associated finite-dimensional positive operator. In addition, tools are given to get good explicit upper and lower bounds for the exponent.

引用

页码：1015 / 1030

页数：16

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