Multiscale decompositions on bounded domains

Citation
A. Cohen et al., Multiscale decompositions on bounded domains, T AM MATH S, 352(8), 2000, pp. 3651-3685
Citations number
31
Categorie Soggetti
Mathematics
Journal title
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029947 → ACNP
Volume
352
Issue
8
Year of publication
2000
Pages
3651 - 3685
Database
ISI
SICI code
0002-9947(2000)352:8<3651:MDOBD>2.0.ZU;2-Y
Abstract
A construction of multiscale decompositions relative to domains Omega subse t of R-d is given. Multiscale spaces are constructed on Omega which retain the important features of univariate multiresolution analysis including loc al polynomial reproduction and locally supported, stable bases.