Article ID Journal Published Year Pages File Type
4605703 Applied and Computational Harmonic Analysis 2006 13 Pages PDF
Abstract

In this paper, we construct stable wavelet bases with piecewise quadratic functions for certain Sobolev spaces on non-uniform meshes. These wavelets have small support with 4 or 6 non-zero coefficients. Furthermore, a simple method is developed for verifying the global stability of wavelets derived from refinable functions with a complicated structure.

Related Topics
Physical Sciences and Engineering Mathematics Analysis