Sampling and quasi-optimal approximation for signals in a reproducing kernel space of homogeneous type

DOI10.1016/j.cam.2017.01.016zbMath1358.94050OpenAlexW2572671466MaRDI QIDQ515778

Su-ping Wang, Ying-chun Jiang

Publication date: 16 March 2017

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2017.01.016

zbMATH Keywords

iterative algorithmreproducing kernel spaceaverage samplinghomogeneous typequasi-optimal approximation

Mathematics Subject Classification ID

Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Sampling theory in information and communication theory (94A20)

Cites Work

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• Sampling and Galerkin reconstruction in reproducing kernel spaces
• Convolution, average sampling, and a Calderon resolution of the identity for shift-invariant spaces
• Frames in spaces with finite rate of innovation
• Weighted sampling and reconstruction in weighted reproducing kernel spaces
• Lipschitz functions on spaces of homogeneous type
• A decomposition into atoms of distributions on spaces of homogeneous type
• Sampling expansions and interpolation in unitarily translation invariant reproducing kernel Hilbert spaces
• Sampling and reconstruction of signals in a reproducing kernel subspace of \(L^p(\mathbb R^d)\)
• Sampling set conditions in weighted multiply generated shift-invariant spaces and their applications
• Analyse harmonique non-commutative sur certains espaces homogènes. Etude de certaines intégrales singulières. (Non-commutative harmonic analysis on certain homogeneous spaces. Study of certain singular integrals.)
• Nonuniform Sampling and Reconstruction in Shift-Invariant Spaces
• Convolution sampling and reconstruction of signals in a reproducing kernel subspace
• Beyond Consistent Reconstructions: Optimality and Sharp Bounds for Generalized Sampling, and Application to the Uniform Resampling Problem
• Sampling Expansions in Reproducing Kernel Hilbert and Banach Spaces
• Sampling-50 years after Shannon
• Reconstruction of band-limited signals from local averages
• Average sampling and reconstruction in a reproducing kernel subspace of homogeneous type space
• On Stable Reconstructions from Nonuniform Fourier Measurements

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