On spherically symmetric continuous wavelet transforms of functions from Liouville classes

Abstract

Spherically symmetric continuous wavelet transforms are considered. For these wavelet transforms the Riesz means are introduced. For compactly supported functions from Liouville class, we formulate sufficient conditions for the convergence of the Riesz means uniformly on compacts. Further we give sufficient conditions for the localization of spherical continuous wavelet transforms.

Citations and references