• Corpus ID: 15065768

Redundancy for localized and Gabor frames

  title={Redundancy for localized and Gabor frames},
  author={Radu V. Balan and Peter G. Casazza and Zeph Landau},
  journal={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… 
Dilation of the Weyl symbol and Balian-Low theorem
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On tight generalized frames
  • M. Ehler
  • Mathematics, Computer Science
  • 2013
A refinement of the notion of frame redundancy is suggested and a tight generalized frame is constructed whose elements have equal norm and are close to the original frame.


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