Mathematical Research Letters

Volume 14 (2007)

Number 2

Connectivity and density in the set of framelets

Pages: 285 – 293

DOI: http://dx.doi.org/10.4310/MRL.2007.v14.n2.a10

Author

Marcin Bownik (University of Oregon)

Abstract

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}.

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