Construction and decomposition of biorthogonal vector-valued wavelets with compact support

被引：9

作者：

Chen, Qingjiang ^{[1
,2
]}

Cao, Huaixin ^{[1
]}

Shi, Zhi ^{[2
]}

机构：

[1] Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Peoples R China

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

来源：

CHAOS SOLITONS & FRACTALS | 2009年 / 42卷 / 05期

关键词：

EPSILON((INFINITY)) SPACE-TIME; SCALE RELATIVITY THEORY; THERMAL-CONDUCTIVITY; E-INFINITY; PACKETS; NANOFLUIDS; MULTIWAVELETS; COMPRESSION; PARTICLES; TRANSPORT;

D O I：

10.1016/j.chaos.2009.03.187

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we introduce vector-valued multiresolution analysis and the biorthogonal vector-valued wavelets with four-scale. The existence of a class of biorthogonal vector-valued wavelets with compact support associated with a pair of biorthogonal vector-valued scaling functions with compact support is discussed. A method for designing a class of biorthogonal compactly supported vector-valued wavelets with four-scale is proposed by virtue of multiresolution analysis and matrix theory. The biorthogonality properties concerning vector-valued wavelet packets are characterized with the aid of time-frequency analysis method and operator theory. Three biorthogonality formulas regarding them are presented. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：2765 / 2778

页数：14

共 28 条

[1] El Naschie's ε(∞) space-time and scale relativity theory in the topological dimension D=3
Agop, M.
Radu, Cristina
Bontas, T.
[J]. CHAOS SOLITONS & FRACTALS, 2008, 38 (05) : 1243 - 1253
[2] El Naschie's ε(∞) theory and effects of nanoparticle clustering on the heat transport in nanofluids
Agop, M.
Paun, V.
Harabagiu, Anca
[J]. CHAOS SOLITONS & FRACTALS, 2008, 37 (05) : 1269 - 1278
[3] El Naschie's ε(∞) space-time and scale relativity theory in the topological dimension D=4
Agop, M.
Murgulet, C.
[J]. CHAOS SOLITONS & FRACTALS, 2007, 32 (03) : 1231 - 1240
[4] Transport phenomena in nanostructures and non-differentiable space-time
Agop, M.
Chicos, Liliana
Nica, P.
[J]. CHAOS SOLITONS & FRACTALS, 2009, 40 (02) : 803 - 814
[5] Biorthogonal multiple vector-valued multivariate wavelet packets associated with a dilation matrix
Chen, Qingjiang
Shi, Zhi
[J]. CHAOS SOLITONS & FRACTALS, 2008, 35 (02) : 323 - 332
[6] Chen X, 2007, MOL CELL TOXICOL, V3, P34
[7] NONORTHOGONAL WAVELET PACKETS
CHUI, CK
LI, C
[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1993, 24 (03) : 712 - 738
[8] ON THE INSTABILITY OF ARBITRARY BIORTHOGONAL WAVELET PACKETS
COHEN, A
DAUBECHIES, I
[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1993, 24 (05) : 1340 - 1354
[9] Advanced prerequisite for E-infinity theory
El Naschie, M. Saladin
[J]. CHAOS SOLITONS & FRACTALS, 2006, 30 (03) : 636 - 641
[10] Hilbert space, the number of Higgs particles and the quantum two-slit experiment
El Naschie, MS
[J]. CHAOS SOLITONS & FRACTALS, 2006, 27 (01) : 9 - 13

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