The Characterization of Parseval Frame Wavelets

被引：0
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作者：
Xin Xiang ZHANGGuo Chang WU College of InformationHenan University of Finance and EconomicsHenan PRChina [450002 ]
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来源：
数学研究与评论 | 2011年 / 31卷 / 02期
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中图分类号：
O174.2 [傅里叶分析（经典调和分析）];
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摘要：
In this paper,we characterize all generalized low pass filters and MRA Parseval frame wavelets in L 2 (R n ) with matrix dilations of the form (Df)(x) =√ 2f(Ax),where A is an arbitrary expanding n × n matrix with integer coefficients,such that |det A| = 2.We study the pseudo-scaling functions,generalized low pass filters and MRA Parseval frame wavelets and give some important characterizations about them.Furthermore,we give a characterization of the semiorthogonal MRA Parseval frame wavelets and provide several examples to verify our results.
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页码：242 / 250
页数：9
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