Multiresolution Analysis by Infinitely Differentiable Compactly SupportedFunctions

摘要

The paper is concerned with the introduction and study of multiresolutionanalysis 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.