Model Sets and New Versions of Shannon Sampling Theorem

DOI10.1007/978-3-319-27873-5_7zbMath1343.42036OpenAlexW2482406565MaRDI QIDQ2814817

Basarab Matei

Publication date: 23 June 2016

Published in: New Trends in Applied Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-27873-5_7

zbMATH Keywords

quasicrystalsmodel setsShannon sampling theoremalmost periodic measuresalmost periodic fucntions

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Classical almost periodic functions, mean periodic functions (42A75) Harmonic analysis in several variables (42B99)

Related Items (2)

The Shannon total variation ⋮ Uniqueness theory for model sets, and spectral superresolution

Cites Work

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• Riesz bases of exponentials on multiband spectra
• Repetitive Delone sets and quasicrystals
• Simple quasicrystals are sets of stable sampling
• Le spectre de Wiener
• A Class of Nonharmonic Fourier Series

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