Adaptive sampling of time-space signals in a reproducing kernel subspace of mixed Lebesgue space

DOI10.1007/s43037-019-00040-2zbMath1457.46033arXiv1904.00727OpenAlexW2998455339MaRDI QIDQ778753

Ying-chun Jiang, Wen-chang Sun

Publication date: 20 July 2020

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

Full work available at URL: https://arxiv.org/abs/1904.00727

zbMATH Keywords

mixed Lebesgue spacetime encoding machinereproducing kernel subspacesemi-adaptive samplingtime-space signals

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)

Related Items (11)

Mixed Norm Martingale Hardy Spaces and Applications in Fourier Analysis ⋮ Random sampling in reproducing kernel spaces with mixed norm ⋮ Sampling and reconstruction in reproducing kernel subspaces of mixed Lebesgue spaces ⋮ Random average sampling in a reproducing kernel subspace of mixed Lebesgue space \(L^{p,q}(\mathbb{R}^{n+1})\) ⋮ Approximation of Nonhomogeneous Random Field from Local Averages ⋮ Random sampling and reconstruction in reproducing kernel subspace of mixed Lebesgue spaces ⋮ Sampling and reconstruction of concentrated reproducing kernel signals in mixed Lebesgue spaces ⋮ Sampling and reconstruction of signals in a reproducing kernel space with mixed norm ⋮ Estimate for some integral operators and their commutators on generalized fractional mixed Morrey spaces ⋮ Frame-based average sampling in multiply generated shift-invariant subspaces of mixed Lebesgue spaces ⋮ Average sampling and reconstruction of reproducing kernel signals in mixed Lebesgue spaces

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