Characterizations of biorthogonal wavelets which are associated with biorthogonal multiresolution analyses

Authors
Kim, HO Kim, RY Lim, JK
Citation
Ho. Kim et al., Characterizations of biorthogonal wavelets which are associated with biorthogonal multiresolution analyses, AP COMP HAR, 11(2), 2001, pp. 263-272
Citations number
20
Categorie Soggetti
Mathematics,"Engineering Mathematics
Journal title
APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS
ISSN journal
10635203 → ACNP
Volume
11
Issue
2
Year of publication
2001
Pages
263 - 272
Database
ISI
SICI code
1063-5203(200109)11:2<263:COBWWA>2.0.ZU;2-B
Abstract
We first characterize the Riesz wavelets which are associated with multires olution analyses (MRAs) and the Riesz wavelets whose duals are also Riesz w avelets. The characterizations show that if a Riesz wavelet is associated w ith an MRA, then it has a dual Riesz wavelet. We then improve Wang's charac terization for a pair of biorthogonal wavelets to be associated with biorth ogonal MRAs by showing that one of the two conditions in his characterizati on is redundant. (C) 2001 Academic Press.