| A Generalization of the Mean Size Formula of Wavelet Packets in Lp |
| |
| 作者姓名： | Song LI Guo Mao WANG Zhi Song LIU |
| |
| 作者单位： | Department of Mathematics, Zhejiang University, Hangzhou 310027, P. R. China |
| |
| 基金项目： | This project is supported by 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,
|
| 关 键 词： | 分割序列 微波 光谱半径 渐进线 泛函方程 |
| 收稿时间： | 2004-08-12 |
| 修稿时间： | 2004-08-122005-02-28 |
A Generalization of the Mean Size Formula of Wavelet Packets in L
p |
| |
| Song LI Guo Mao WANG Zhi Song LIU.A Generalization of the Mean Size Formula of Wavelet Packets in Lp[J].Acta Mathematica Sinica,2005,21(6):1475-1486. |
| |
| Authors: | Song Li Guo Mao Wang Zhi Song Liu |
| |
| Institution: | (1) Department of Mathematics, Zhejiang University, Hangzhou 310027, P. R. China |
| |
| Abstract: | The purpose of this paper is to investigate the mean size formula of wavelet packets in
L
p
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 L
p
–norm or quasi–norm on the
subdivision trees. All results will be given in the general setting.
This project is supported by NSF of China under Grant Nos. 10071071 and 10471123 |
| |
| Keywords: | mean size joint spectral radii wavelet packet subdivision sequence |
| 本文献已被 维普 SpringerLink 等数据库收录！ |
