Convergence of the cascade algorithm at irregular scaling functions

Abstract

The spectral properties of the Ruelle transfer operator which arises from a given polynomial wavelet filter are related to the convergence question for the cascade algorithm for approximation of the corresponding wavelet scaling function.

AMS-LaTeX; 38 pages, 10 figures comprising 42 EPS diagrams; some diagrams are bitmapped at 75 dots per inch; for full-resolution bitmaps see ftp://ftp.math.uiowa.edu/pub/jorgen/convcasc/