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

DOI10.11650/tjm/201002zbMath1477.94043OpenAlexW3093515146MaRDI QIDQ2233626

Jiao Li, Ying-chun Jiang

Publication date: 11 October 2021

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11650/tjm/201002

zbMATH Keywords

shift-invariant spacesaverage samplingmixed Lebesgue spaces$(p,q)$ framesapproximation projection algorithm

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) General harmonic expansions, frames (42C15) Sampling theory in information and communication theory (94A20)

Related Items (1)

The Mihlin multiplier theorem on anisotropic mixed-norm Hardy spaces

Cites Work

• Characterisation by local means of anisotropic Lizorkin-Triebel spaces with mixed norms
• Relevant sampling in finitely generated shift-invariant spaces
• Leibniz's rule, sampling and wavelets on mixed Lebesgue spaces
• Estimates for translation invariant operators in \(L^p\) spaces
• The spaces \(L^ p\), with mixed norm
• Adaptive sampling of time-space signals in a reproducing kernel subspace of mixed Lebesgue space
• Calderón-Zygmund theory for operator-valued kernels
• The \(L^{p,q}\)-stability of the shifts of finitely many functions in mixed Lebesgue spaces \(L^{p,q}(\mathbb R^{d+1})\)
• Nonuniform average sampling and reconstruction in multiply generated shift-invariant spaces
• Real-variable characterizations of new anisotropic mixed-norm Hardy spaces
• Sampling and reconstruction in reproducing kernel subspaces of mixed Lebesgue spaces
• Identification of anisotropic mixed-norm Hardy spaces and certain homogeneous Triebel-Lizorkin spaces
• Atomic and Littlewood-Paley characterizations of anisotropic mixed-norm Hardy spaces and their applications
• Molecular decomposition of anisotropic homogeneous mixed-norm spaces with applications to the boundedness of operators
• Average sampling and reconstruction of reproducing kernel signals in mixed Lebesgue spaces
• Wavelet transforms for homogeneous mixed-norm Triebel-Lizorkin spaces
• 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
• Anisotropic Lizorkin-Triebel spaces with mixed norms - traces on smooth boundaries
• Exact iterative reconstruction algorithm for multivariate irregularly sampled functions in spline-like spaces: The 𝐿^{𝑝}-theory
• Sampling-50 years after Shannon
• Dual spaces of anisotropic mixed-norm Hardy spaces
• CALDERÓN–ZYGMUND OPERATORS ON MIXED LEBESGUE SPACES AND APPLICATIONS TO NULL FORMS
• Smoothing properties of bilinear operators and Leibniz-type rules in Lebesgue and mixed Lebesgue spaces
• Mixed-norm $\alpha $-modulation spaces
• Nonuniform average sampling in multiply generated shift-invariant subspaces of mixed Lebesgue spaces
• Semi-Average Sampling for Shift-Invariant Signals in a Mixed Lebesgue Space
• Fourier multipliers on anisotropic mixed-norm spaces of distributions
• Random sampling and reconstruction in multiply generated shift-invariant spaces

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