An uncertainty principle for finite frames

DOI10.1016/j.jmaa.2010.06.048zbMath1203.42040OpenAlexW1994919943MaRDI QIDQ710930

Anna Maeser, Mark C. Lammers

Publication date: 22 October 2010

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.2010.06.048

zbMATH Keywords

uncertainty principleframesGauss-Hermite differential equationtime-frequency dual

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15)

Related Items (4)

Quantization and Finite Frames ⋮ Frame multiplication theory and a vector-valued DFT and ambiguity function ⋮ Graph theoretic uncertainty and feasibility ⋮ A note on finite dual frame pairs

Cites Work

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• Gabor time-frequency lattices and the Wexler-Raz identity
• Sobolev duals for random frames and \(\varSigma \varDelta \) quantization of compressed sensing measurements
• On discrete Gauss-Hermite functions and eigenvectors of the discrete Fourier transform
• Eigenvectors and functions of the discrete Fourier transform
• Eigenvalues and eigenvectors of the finite Fourier transform
• The wavelet transform, time-frequency localization and signal analysis
• Density theorems for sampling and interpolation in the Bargmann-Fock space I.
• The Discrete Cosine Transform
• On general frame decompositions

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