Multiresolution analysis by infinitely differentiable compactly supported functions

N. Dyn, A. Ron

Research output: Contribution to journalArticlepeer-review

15 Scopus citations

Abstract

The paper is concerned with the introduction and study of multiresolution analysis based on the up function, which is an infinitely differentiable function supported on [0.2]. Such analysis is, necessarily, nonstationary. It is shown that the approximation orders associated with the corresponding spaces are spectral, thus making the spaces attractive for the approximation of very smooth functions.

Original languageEnglish
Pages (from-to)15-20
Number of pages6
JournalApplied and Computational Harmonic Analysis
Volume2
Issue number1
DOIs
StatePublished - 1995

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