On the sampling theorem for wavelet subspaces

被引：83

作者：

Zhou, XW ^{[1
]}

Sun, WC ^{[1
]}

机构：

[1] Nankai Univ, Nankai Inst Math, Tianjin 300071, Peoples R China

来源：

JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS | 1999年 / 5卷 / 04期

关键词：

sampling; wavelet; frames;

D O I：

10.1007/BF01259375

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In [13], Walter extended the classical Shannon sampling theorem to some wavelet subspaces. For any closed subspace V-0 of L-2 (R), we present a necessary and sufficient condition under which there is a sampling expansion for every f is an element of V-0. Several examples are given.

引用

页码：347 / 354

页数：8

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