ON THE EFFECTIVE CONSTRUCTION OF COMPACTLY SUPPORTED WAVELETS SATISFYING HOMOGENEOUS BOUNDARY-CONDITIONS ON THE INTERVAL

Authors
CHIAVASSA G LIANDRAT J
Citation
G. Chiavassa et J. Liandrat, ON THE EFFECTIVE CONSTRUCTION OF COMPACTLY SUPPORTED WAVELETS SATISFYING HOMOGENEOUS BOUNDARY-CONDITIONS ON THE INTERVAL, Applied and computational harmonic analysis, 4(1), 1997, pp. 62-73
Citations number
16
Categorie Soggetti
Mathematics,Mathematics
Journal title
Applied and computational harmonic analysis → ACNP
ISSN journal
10635203
Volume
4
Issue
1
Year of publication
1997
Pages
62 - 73
Database
ISI
SICI code
1063-5203(1997)4:1<62:OTECOC>2.0.ZU;2-7
Abstract
We construct compactly supported wavelet bases satisfying homogeneous boundary conditions on the interval [0,1]. The maximum features of mul tiresolution analysis on the line are retained, including polynomial a pproximation and tree algorithms. The case of H-0(1)([0,1]) is detaile d and numerical values, required for the implementation, are provided for the Neumann and Dirichlet boundary conditions. (C) 1997 Academic P ress.