Mathematical Research Letters

Volume 14, Issue 2, March 2007 pp. 285-293.

Connectivity and density in the set of framelets

Authors: Marcin Bownik
Author institution: University of Oregon

Summary: We show that the set of all framelets is pathwise connected and dense both in $L^2(\br, dx)$ and $L^2(\br, d\xi/|\xi|)$ norms. This answers an open problem posed by Larson \cite{La1, La2}.

Contents Full-Text PDF