• Corpus ID: 15065768

# Redundancy for localized and Gabor frames

@article{Balan2009RedundancyFL,
title={Redundancy for localized and Gabor frames},
author={Radu V. Balan and Peter G. Casazza and Zeph Landau},
journal={arXiv: Functional Analysis},
year={2009}
}
• Published 28 April 2009
• Computer Science
• arXiv: Functional Analysis
Redundancy is the qualitative property which makes Hilbert space frames so useful in practice. However, developing a meaningful quantitative notion of redundancy for infinite frames has proven elusive. Though quantitative candidates for redundancy exist, the main open problem is whether a frame with redundancy greater than one contains a subframe with redundancy arbitrarily close to one. We will answer this question in the affirmative for $\ell^1$-localized frames. We then specialize our…
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