Mean size formula of wavelet subdivision tree on Heisenberg group  

作　　者：WANG Guo-mao Department of Mathematics,Zhejiang University,Hangzhou 310027,China Department of Mathematics,Hangzhou Dianzi University,Hangzhou 310018,China. 

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2008年第3期303-312,共10页高校应用数学学报（英文版）（B辑）

基　　金：the National Natural Science Foundation of China (10471123; 10771190)

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.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.

关 键 词：Heisenberg group wavelet packets subdivision tree joint spectral radius STABILITY 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术]