A Generalization of the Mean Size Formula of Wavelet Packets in L_p  

作　　者：Song LI Guo Mao WANG Zhi Song LIU 

机构地区：[1]Department of Mathematics, Zhejiang University, Hangzhou 310027, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》2005年第6期1475-1486,共12页数学学报（英文版）

基　　金：NSF of China under Grant Nos.10071071 and 10471123

摘　　要：The purpose of this paper is to investigate the mean size formula of wavelet packets in Lp for 0 〈 p ≤ ∞. We generalize a mean size formula of wavelet packets given in terms of the p-norm joint spectral radius and we also give some asymptotic formulas for the Lp-norm or quasi-norm on the subdivision trees. All results will be given in the general setting,The purpose of this paper is to investigate the mean size formula of wavelet packets in Lp for 0 〈 p ≤ ∞. We generalize a mean size formula of wavelet packets given in terms of the p-norm joint spectral radius and we also give some asymptotic formulas for the Lp-norm or quasi-norm on the subdivision trees. All results will be given in the general setting,

关 键 词：mean size joint spectral radii wavelet packet subdivision sequence 

分 类 号：O17[理学—数学]