MULTIRESOLUTION ANALYSIS BY INFINITELY DIFFERENTIABLE COMPACTLY SUPPORTED FUNCTIONS

Authors
DYN N RON A
Citation
N. Dyn et A. Ron, MULTIRESOLUTION ANALYSIS BY INFINITELY DIFFERENTIABLE COMPACTLY SUPPORTED FUNCTIONS, Applied and computational harmonic analysis, 2(1), 1995, pp. 15-20
Citations number
15
Categorie Soggetti
Mathematics,Mathematics
Journal title
Applied and computational harmonic analysis → ACNP
ISSN journal
10635203
Volume
2
Issue
1
Year of publication
1995
Pages
15 - 20
Database
ISI
SICI code
1063-5203(1995)2:1<15:MABIDC>2.0.ZU;2-C
Abstract
The paper is concerned with the introduction and study of multiresolut ion analysis based on the up function, which is an infinitely differen tiable function supported on [0,2]. Such analysis is, necessarily, non stationary. It is shown that the approximation orders associated with the corresponding spaces are spectral, thus making the spaces attracti ve for the approximation of very smooth functions. (C) 1995 Academic P ress, Inc.