Revisiting Landau's density theorems for Paley-Wiener spaces

DOI10.1016/j.crma.2012.05.003zbMath1248.41010OpenAlexW2045911707MaRDI QIDQ432685

Shahaf Nitzan, Alexander Olevskiĭ

Publication date: 4 July 2012

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.2012.05.003

zbMATH Keywords

Landau's density theoremssampling and interpolationunbounded spectra

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) Interpolation in approximation theory (41A05)

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Cites Work

• Unnamed Item
• Sur les fonctions moyenne-périodiques bornées
• Interpolation in Bernstein and Paley-Wiener spaces
• The collected works of Arne Beurling. Volume 1: Complex analysis. Volume 2: Harmonic analysis. Ed. by Lennart Carleson, Paul Malliavin, John Neuberger, John Wermer
• Incompleteness of sparse coherent states
• Necessary density conditions for sampling an interpolation of certain entire functions
• Approximation of discrete functions and size of spectrum
• On Landau's Necessary Density Conditions for Sampling and Interpolation of Band-Limited Functions

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