Nonuniform average sampling in multiply generated shift-invariant subspaces of mixed Lebesgue spaces

DOI10.1142/S0219691320500137zbMath1458.94192arXiv1806.05055OpenAlexW2991131422WikidataQ126668652 ScholiaQ126668652MaRDI QIDQ5117166

Qing Yue Zhang

Publication date: 20 August 2020

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

Full work available at URL: https://arxiv.org/abs/1806.05055

zbMATH Keywords

shift-invariant subspacesmixed Lebesgue spacesnonuniform average sampling

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) General harmonic expansions, frames (42C15) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Sampling theory in information and communication theory (94A20)

Related Items (6)

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 ⋮ Sampling and reconstruction of signals in a reproducing kernel space with mixed norm ⋮ Reconstruction and error analysis based on multiple sampling functionals over mixed Lebesgue spaces ⋮ Semi-Average Sampling for Shift-Invariant Signals in a Mixed Lebesgue Space ⋮ Frame-based average sampling in multiply generated shift-invariant subspaces of mixed Lebesgue spaces

Cites Work

• Unnamed Item
• On a class of non-uniform average sampling expansions and partial reconstruction in subspaces of \(L _{2}(\mathbb R)\)
• Reconstruction of splines from local average samples
• Generalized average sampling in shift invariant spaces
• Leibniz's rule, sampling and wavelets on mixed Lebesgue spaces
• The spaces \(L^ p\), with mixed norm
• General A-P iterative algorithm in shift-invariant spaces
• Calderón-Zygmund theory for operator-valued kernels
• Vector-valued singular integral operators on \(L^ p\)-spaces with mixed norms and applications
• On the sampling theorem for wavelet subspaces
• Sampling theorem for multiwavelet subspaces
• Average sampling in spline subspaces
• Non-uniform weighted average sampling and reconstruction in shift-invariant and wavelet spaces
• Nonuniform average sampling and reconstruction in multiply generated shift-invariant spaces
• Invariance of shift-invariant spaces
• Beurling-Landau-type theorems for non-uniform sampling in shift invariant spline spaces
• Existence and uniqueness of spline reconstruction from local weighted average samples
• Harmonic analysis and applications. In Honor of John J. Benedetto
• Nonuniform sampling in principal shift-invariant subspaces of mixed Lebesgue spaces \(L^{p, q}(\mathbb{R}^{d + 1})\)
• Nonuniform Sampling and Reconstruction in Shift-Invariant Spaces
• CONVOLUTION OPERATORS ON BANACH SPACE VALUED FUNCTIONS
• Nonuniform Average Sampling and Reconstruction of Signals with Finite Rate of Innovation
• Exact iterative reconstruction algorithm for multivariate irregularly sampled functions in spline-like spaces: The 𝐿^{𝑝}-theory
• Sampling procedures in function spaces and asymptotic equivalence with shannon's sampling theory
• Biorthogonal partners and applications
• Sampling theorems for uniform and periodic nonuniform mimo sampling of multiband signals
• Modern sampling theory. Mathematics and applications

This page was built for publication: Nonuniform average sampling in multiply generated shift-invariant subspaces of mixed Lebesgue spaces