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.
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页码：1 / 20
页数：20
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