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《Numerical Mathematics A Journal of Chinese Universities》 2009-03
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THE BIORTHOGONALITY PROPERTY OF MULTIPLE VECTOR-VALUED MULTIVARIATE WAVELET PACKETS ASSOCIATED WITH A DILATION MATRIX

Chen Qingjiang (College of Math.& Information Science,Shaanxi Normal University, Xi'an 710062/ School of Science,Xi'an University of Architecture & Technology,Xi'an 710055) Wang Man (Department of Applied Mathematics,Nanyang Institute of Technology, Nanyang 473000)  
The definition of the biorthogonal multiple vector-valued multivariate wavelet packets is proposed and a novel procedure for constructing them is presented. Their property is investigated by virtue of time-frequency analysis method, finite group theory and matrix theory.Three biorthogonality formulas concerning these wavelet packets are established.Finally,a new basis of L~2(R~s,C~n) is constructed by using the biorthogonal multiple vector-valued multivariate wavelet packets.
【Fund】: 国家自然科学基金资助项目(10571113);; 陕西省教育厅专向科研项目(08JK340);; 西安建筑科技大学基础研究基金项目(JC0718)
【CateGory Index】: O174.2
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