Universal sampling, quasicrystals and bounded remainder sets

DOI10.1016/J.CRMA.2014.05.006zbMath1306.42054OpenAlexW2012707004MaRDI QIDQ404427

Nir Lev, Sigrid Grepstad

Publication date: 4 September 2014

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2014.05.006

zbMATH Keywords

quasicrystalRiemann measurable setuniversal interpolationuniversal sampling

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Completeness of sets of functions in nontrigonometric harmonic analysis (42C30) Sampling theory in information and communication theory (94A20)

Related Items (5)

Quasicrystals and Control Theory ⋮ Riesz bases, Meyer’s quasicrystals, and bounded remainder sets ⋮ Trigonometric series with a given spectrum ⋮ Three problems on trigonometric sums ⋮ Frames of translates for model sets

Cites Work

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• Multi-tiling and Riesz bases
• Universal sampling of band-limited signals
• Necessary density conditions for sampling an interpolation of certain entire functions
• Riesz bases of exponentials on multiband spectra
• Simple quasicrystals are sets of stable sampling

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