A variant of compressed sensing

DOI10.4171/RMI/578zbMath1184.42010MaRDI QIDQ734617

Yves Meyer, Basarab Matei

Publication date: 13 October 2009

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmi/1255440070

zbMATH Keywords

Fourier expansionscompressed sensingirregular samplinguniform sampling and interpolation

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Harmonic analysis in several variables (42B99) Completeness of sets of functions in nontrigonometric harmonic analysis (42C30)

Related Items (16)

Quasicrystals and Control Theory ⋮ On multi-dimensional sampling and interpolation ⋮ A note on exponential Riesz bases ⋮ Bases of complex exponentials with restricted supports ⋮ Exponential bases for partitions of intervals ⋮ The Shannon total variation ⋮ Riesz bases, Meyer’s quasicrystals, and bounded remainder sets ⋮ Exponential Riesz bases, discrepancy of irrational rotations and BMO ⋮ A few remarks on sampling of signals with small spectrum ⋮ Generalized Fourier frames in terms of balayage ⋮ On the duality between sampling and interpolation ⋮ Uniqueness theory for model sets, and spectral superresolution ⋮ Exact reconstruction of the nonnegative measures using model sets ⋮ Model Sets and New Versions of Shannon Sampling Theorem ⋮ Riesz wavelets, tiling and spectral sets in LCA groups ⋮ On syndetic Riesz sequences

Cites Work

• Universal sampling and interpolation of band-limited signals
• An uncertainty principle for cyclic groups of prime order
• Universal sampling of band-limited signals
• Necessary density conditions for sampling an interpolation of certain entire functions
• Nombres de Pisot, nombres de Salem et analyse harmonique. Cours Peccot donne au College de France en avril-mai 1969

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