Completeness in the set of wavelets

被引：9

作者：

Garrigós, G

Speegle, D

机构：

[1] Washington Univ, Dept Math, St Louis, MO 63130 USA

[2] St Louis Univ, Dept Math, St Louis, MO 63103 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2000年 / 128卷 / 04期

关键词：

wavelets; completeness; equivalent metrics;

D O I：

10.1090/S0002-9939-99-05198-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the completeness properties of the set of wavelets in L-2(R). It is well-known that this set is not closed in the unit ball of L-2(R). However, if one considers the metric inherited as a subspace (in the Fourier transform side) of L-2(R, d xi) boolean AND L-2(R-*, d xi/\xi\), we do obtain a complete metric space.

引用

页码：1157 / 1166

页数：10