A general construction of nonseparable multivariate orthonormal wavelet bases

被引：8
|
作者：
Karoui, Abderrazek
机构：
[1] Department of Mathematics, Faculty of Sciences of Bizerte, University November 7th at Carthage, Carthage
来源：
CENTRAL EUROPEAN JOURNAL OF MATHEMATICS | 2008年 / 6卷 / 04期
关键词：
multidimensional wavelets; non-separable orthogonal wavelet bases; stability; transition operator; multidimensional multiwavelet masks;
D O I：
10.2478/s11533-008-0052-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The construction of nonseparable and compactly supported orthonormal wavelet bases of L(2)(R(n)); n >= 2, is still a challenging and an open research problem. In this paper, we provide a special method for the construction of such wavelet bases. The wavelets constructed by this method are dyadic wavelets. Also, we show that our proposed method can be adapted for an eventual construction of multidimensional orthogonal multiwavelet matrix masks, candidates for generating multidimensional multiwavelet bases.
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页码：504 / 525
页数：22
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