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The Biorthogonality of Multiple Vector-valued Bivariate Wavelet Packets

The Biorthogonality of Multiple Vector-valued Bivariate Wavelet Packets
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摘要 The notion of a sort of biorthogonal multiple vector-valued bivariate wavelet packets,which are associated with a quantity dilation matrix,is introduced.The biorthogonality property of the multiple vector-valued wavelet packets in higher dimensions is studied by means of Fourier transform and integral transform biorthogonality formulas concerning these wavelet packets are obtained. The notion of a sort of biorthogonal multiple vector-valued bivariate wavelet packets, which axe associated with a quantity dilation matrix, is introduced. The biorthogonality property of the multiple vector-valued wavelet packets in higher dimensions is studied by means of Fourier transform and integral transform biorthogonality formulas concerning these wavelet packets are obtained.
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 2010年第2期208-213,共6页 数学季刊(英文版)
基金 Supported by Natural Science Foundation of Henan Province(0511013500)
关键词 BIVARIATE multiple vector-valued multiresolution analysis multiple vectorvalued scaling function multiple vector-valued wavelet packets biorthogonality bivariate multiple vector-valued multiresolution analysis multiple vectorvalued scaling function multiple vector-valued wavelet packets biorthogonality
作者简介 CHEN Shao-dong(1969-), female, native of Nanyang, Henan, a lecturer of Nanyang Institute of Technology, M.S.D., engaged in mathematics in control, economic research and application.
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参考文献6

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