Symmetrically localized frames and the removal of subsets of positive density

DOI10.1016/j.jmaa.2006.04.002zbMath1130.42306OpenAlexW1984349866MaRDI QIDQ865337

Fumiko Futamura

Publication date: 14 February 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.04.002

zbMATH Keywords

densityframesmodulation spacesexcesslocalized framesgabor systemsovercompletenessWeyl--Heisenberg systems

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15)

Related Items (2)

Slanted matrices, Banach frames, and sampling ⋮ Localizable operators and the construction of localized frames

Cites Work

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• Deficits and excesses of frames
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• Localization of frames, Banach frames, and the invertibility of the frame operator
• Density, overcompleteness, and localization of frames. II: Gabor systems
• Density, overcompleteness, and localization of frames. I: Theory
• Nonuniform Sampling and Reconstruction in Shift-Invariant Spaces
• Painless nonorthogonal expansions
• A Class of Nonharmonic Fourier Series
• An introduction to frames and Riesz bases

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