Paley-Wiener subspace of vectors in a Hilbert space with applications to integral transforms

DOI10.1016/j.jmaa.2008.12.035zbMath1183.42033OpenAlexW2021626909MaRDI QIDQ1018142

Ahmed I. Zayed, Isaac Z. Pesenson

Publication date: 13 May 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.12.035

zbMATH Keywords

integral transformSturm-Liouville operatordual framePaley-Wiener spacebandlimited functionsampling, Hilbert frame

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Integral transforms of special functions (44A20) General harmonic expansions, frames (42C15)

Related Items (8)

Fractional Paley-Wiener and Bernstein spaces ⋮ Linear Transformations in Signal and Optical Systems ⋮ Isospectral measures ⋮ Entire \(L^p\)-functions of exponential type ⋮ Spectral subspaces of Sturm-Liouville operators and variable bandwidth ⋮ Necessary density conditions for sampling and interpolation in spectral subspaces of elliptic differential operators ⋮ Geometric space-frequency analysis on manifolds ⋮ Boas-Type Formulas and Sampling in Banach Spaces with Applications to Analysis on Manifolds

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