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 approximation of very smooth functions.