Multiresolution Analysis by Innnitely Diierentiable Compactly Supported Functions Multiresolution Analysis by Innnitely Diierentiable Compactly Supported Functions N. Dyn & A. Ron

The paper is concerned with the introduction and study of multiresolution analysis based on the up function, which is an innnitely diierentiable 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… (More)