On a class of non-uniform average sampling expansions and partial reconstruction in subspaces of \(L _{2}(\mathbb R)\)

DOI10.1007/s10444-011-9177-4zbMath1261.94021OpenAlexW2087447429MaRDI QIDQ429784

Nikolaos D. Atreas

Publication date: 20 June 2012

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-011-9177-4

zbMATH Keywords

Fourier transformWiener amalgam spacenon-uniform samplingpartial reconstruction

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) General harmonic expansions, frames (42C15) Sampling theory in information and communication theory (94A20)

Related Items

Regular families of kernels for nonlinear approximation ⋮ Random average sampling in a reproducing kernel subspace of mixed Lebesgue space \(L^{p,q}(\mathbb{R}^{n+1})\) ⋮ Nonuniform average sampling in multiply generated shift-invariant subspaces of mixed Lebesgue spaces ⋮ Sampling and Average Sampling in Quasi Shift-Invariant Spaces ⋮ Rate of innovation for (non-)periodic signals and optimal lower stability bound for filtering ⋮ On the structure and interpolation properties of quasi shift-invariant spaces ⋮ Stable phaseless sampling and reconstruction of real-valued signals with finite rate of innovation ⋮ Random sampling and reconstruction of concentrated signals in a reproducing kernel space ⋮ Sampling and Approximation in Shift Invariant Subspaces of $$L_2(\mathbb {R})$$

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