Approximation of discrete functions and size of spectrum

DOI10.1090/S1061-0022-2010-01129-4zbMath1207.30038arXiv1304.0649MaRDI QIDQ3061261

Alexander Olevskiĭ, Alexander Ulanovskii

Publication date: 14 December 2010

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.0649

zbMATH Keywords

Paley-Wiener spaceBernstein spaceset of interpolationapproximation of discrete functions

Mathematics Subject Classification ID

Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (6)

Uniqueness in the determination of vibration sources in polygonal plates observing the displacement over a space‐time open set ⋮ Revisiting Landau's density theorems for Paley-Wiener spaces ⋮ Discrete uniqueness sets for functions with spectral gaps ⋮ Invertibility of sub-matrices and the octahedron width theorem ⋮ Uniqueness sets for unbounded spectra ⋮ Necessary density conditions for \(d\)-approximate interpolation sequences in the Bargmann-Fock space

Cites Work

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• 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
• Interpolation by functions with small spectra
• Necessary density conditions for sampling an interpolation of certain entire functions

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