ENERGY MOMENTS IN TIME AND FREQUENCY FOR 2-SCALE DIFFERENCE EQUATION SOLUTIONS AND WAVELETS

被引：54

作者：

VILLEMOES, LF ^{[1
]}

机构：

[1] TECH UNIV DENMARK,DEPT MATH,DK-2800 LYNGBY,DENMARK

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 1992年 / 23卷 / 06期

关键词：

2-SCALE DIFFERENCE EQUATIONS; WAVELETS; SOBOLEV REGULARITY;

D O I：

10.1137/0523085

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper indicates how to find energy moments in direct and Fourier space of a solution to the functional equation u(x) = SIGMA(k=0)N-1 2c(k)u(2x - k) and shows that the Sobolev regularity of u is determined by the spectral radius of a matrix defined from the coefficients (c(k)). The results are applied to compactly supported orthonormal wavelets.

引用

页码：1519 / 1543

页数：25

共 25 条

[1] FAST WAVELET TRANSFORMS AND NUMERICAL ALGORITHMS .1. [J].