COMPACTLY SUPPORTED WAVELETS AND BOUNDARY-CONDITIONS

被引：16

作者：

AUSCHER, P

机构：

[1] IRMAR, Université de Rennes 1, 35042 Rennes, Campus Beaulieu

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 1993年 / 111卷 / 01期

关键词：

D O I：

10.1006/jfan.1993.1002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Wavelet bases subject to various homogeneous boundary conditions on an interval are constructed. They are obtained from Daubechies′ compactly supported wavelets which are restricted to the interval following an idea by Y. Meyer and then, suitably modified. The Sobolev spaces arising from homogeneous boundary problems are characterized in terms of wavelet coefficients in these bases. © 1993 by Academic Press. Inc.

引用

页码：29 / 43

页数：15