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Mean size formula of wavelet subdivision tree on Heisenberg group

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【Author】 WANG Guo-mao Department of Mathematics,Zhejiang University,Hangzhou 310027,China;Department of Mathematics,Hangzhou Dianzi University,Hangzhou 310018,China.

【摘要】 The purpose of this paper is to investigate the mean size formula of wavelet packets(wavelet subdivision tree) on Heisenberg group.The formula is given in terms of the p-norm joint spectral radius.The vector refinement equations on Heisenberg group and the subdivision tree on the Heisenberg group are discussed.The mean size formula of wavelet packets can be used to describe the asymptotic behavior of norm of the subdivision tree.更多还原

【Abstract】 The purpose of this paper is to investigate the mean size formula of wavelet packets(wavelet subdivision tree) on Heisenberg group.The formula is given in terms of the p-norm joint spectral radius.The vector refinement equations on Heisenberg group and the subdivision tree on the Heisenberg group are discussed.The mean size formula of wavelet packets can be used to describe the asymptotic behavior of norm of the subdivision tree.更多还原

【关键词】 Heisenberg group； wavelet packets； subdivision tree； joint spectral radius； stability；
【Key words】 Heisenberg group； wavelet packets； subdivision tree； joint spectral radius； stability；

【基金】 the National Natural Science Foundation of China (10471123; 10771190)

【文献出处】 Applied Mathematics:A Journal of Chinese Universities(Series B) ,高校应用数学学报B辑(英文版) , 编辑部邮箱 ,2008年03期

【分类号】TP391.41
【下载频次】14

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