SAMPLING SEQUENCES OF COMPACTLY SUPPORTED DISTRIBUTIONS IN Lp(R)

DOI10.1142/S0219691305000920zbMath1075.42011OpenAlexW2082445763MaRDI QIDQ5704740

Isaac Z. Pesenson

Publication date: 15 November 2005

Published in: International Journal of Wavelets, Multiresolution and Information Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219691305000920

zbMATH Keywords

framesentire functions of exponential typereconstruction methodsPlancherel-Pólya inequalitiesaverage splines

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) General harmonic expansions, frames (42C15)

Related Items (5)

Plancherel--Polya-type inequalities for entire functions of exponential type in \(L_{p}(\mathbb R^{d})\) ⋮ Approximation by interpolating variational splines ⋮ Average sampling and space-frequency localized frames on bounded domains ⋮ Variational splines and Paley-Wiener spaces on Combinatorial graphs ⋮ Paley-Wiener subspace of vectors in a Hilbert space with applications to integral transforms

Cites Work

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• Exact iterative reconstruction algorithm for multivariate irregularly sampled functions in spline-like spaces: The 𝐿^{𝑝}-theory
• A reconstruction formula for band limited functions in $L_2(R^d)$
• Reconstruction of functions in spline subspaces from local averages
• Sampling of band-limited vectors

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