Some equations relating multiwavelets and multiscaling functions

被引：9

作者：

Dutkay, DE ^{[1
]}

机构：

[1] Univ Iowa, Dept Math, Iowa City, IA 52242 USA

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2005年 / 226卷 / 01期

关键词：

wavelet; scaling function; shift invariant; trace; frame;

D O I：

10.1016/j.jfa.2005.01.015

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The local trace function introduced in [Dutkay, The local trace function of shift invariant spaces, J. Operat. Theory 52(2) (2004), 267-291] is used to derive equations that relate multiwavelets and multiscaling functions in the context of a generalized multiresolution analysis, without appealing to filters. A construction of normalized tight frame (NTF) wavelets is given. Particular instances of the construction include NTF and orthonormal wavelet sets. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：1 / 20

页数：20

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