Biorthogonal multiple vector-valued multivariate wavelet packets associated with a dilation matrix

被引：52

作者：

Chen, Qingjiang ^{[1
]}

Shi, Zhi ^{[1
]}

机构：

[1] Xian Univ Architecture & Technol, Sch Sci, Xian 710055, Peoples R China

来源：

CHAOS SOLITONS & FRACTALS | 2008年 / 35卷 / 02期

关键词：

D O I：

10.1016/j.chaos.2007.06.065

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the notion of multiple vector-valued multiresolution analysis of space L-2(R-S, C-rxr) is introduced. A method for constructing biorthogonal multiple vector-valued wavelet packets in higher dimensions is presented and their properties is investigated by means of time-frequency analysis method, matrix theory and operator theory. Three biorthogonality formulas concerning these wavelet packets are obtained. Finally, new Riesz bases of space L-2(R-S, C-rxr) is obtained by constructing a series of subspaces of biorthogonal multiple vector-valued wavelet packets. (c) 2007 Elsevier Ltd. All rights reserved.

引用

页码：323 / 332

页数：10

共 22 条

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[2] ON THE INSTABILITY OF ARBITRARY BIORTHOGONAL WAVELET PACKETS
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[9] A review of E infinity theory and the mass spectrum of high energy particle physics
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