• 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}
}
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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