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

Citation
Li, Song et al., A Generalization of the Mean Size Formula of Wavelet Packets in L_p, Acta mathematica Sinica. English series (Print) , 21(6), 2005, pp. 1475-1486
ISSN journal
14398516
Volume
21
Issue
6
Year of publication
2005
Pages
1475 - 1486
Database
ACNP
SICI code
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.