On stability and orthogonality of refinable functions

被引：1
|
作者：
Saliani, Sandra [1 ]
机构：
[1] Univ Basilicata, Dipartimento Matemat, I-85100 Potenza, Italy
来源：
APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS | 2006年 / 21卷 / 02期
关键词：
wavelet; refinable function; Riesz basis; low-pass filter;
D O I：
10.1016/j.acha.2006.01.003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We give a simple proof of Lawton's theorem on the orthogonality of translates of a compactly supported refinable function. The same technique provides an easy proof of uniqueness in Gundy's criterion on the characterization of low-pass filters associated to prescaling functions. (C) 2006 Elsevier Inc. All rights reserved.
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页码：254 / 261
页数：8
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