Sampling and Galerkin reconstruction in reproducing kernel spaces
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Publication:739483
DOI10.1016/j.acha.2015.12.007zbMath1360.94182arXiv1410.1828OpenAlexW2963824716MaRDI QIDQ739483
Cheng Cheng, Qiyu Sun, Ying-chun Jiang
Publication date: 18 August 2016
Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1410.1828
samplingoblique projectionreproducing kernel spacefinite rate of innovationGalerkin reconstructioniterative approximation-projection algorithm
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) Numerical solution to inverse problems in abstract spaces (65J22)
Related Items (9)
Nonuniform sampling and approximation in Sobolev space from perturbation of the framelet system ⋮ Iterative kernel density estimation from noisy-dependent observations ⋮ Spatially distributed sampling and reconstruction ⋮ Random sampling and reconstruction in reproducing kernel subspace of mixed Lebesgue spaces ⋮ Sampling and reconstruction of signals in a reproducing kernel space with mixed norm ⋮ Nonlinear frames and sparse reconstructions in Banach spaces ⋮ Sampling and quasi-optimal approximation for signals in a reproducing kernel space of homogeneous type ⋮ Random sampling and reconstruction of concentrated signals in a reproducing kernel space ⋮ Time sampling and reconstruction in weighted reproducing kernel subspaces
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