Semi-Average Sampling for Shift-Invariant Signals in a Mixed Lebesgue Space
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Publication:5119591
DOI10.1080/01630563.2020.1737815zbMath1458.94184OpenAlexW3011271208MaRDI QIDQ5119591
Publication date: 31 August 2020
Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/01630563.2020.1737815
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Sampling theory in information and communication theory (94A20)
Related Items (3)
Random Sampling and Reconstruction of Sparse Time- and Band-Limited Signals ⋮ Random sampling in multiply generated shift-invariant subspaces of mixed Lebesgue spaces \(L^{p,q}(\mathbb{R}\times\mathbb{R}^d)\) ⋮ Frame-based average sampling in multiply generated shift-invariant subspaces of mixed Lebesgue spaces
Cites Work
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- Leibniz's rule, sampling and wavelets on mixed Lebesgue spaces
- The spaces \(L^ p\), with mixed norm
- Calderón-Zygmund theory for operator-valued kernels
- Vector-valued singular integral operators on \(L^ p\)-spaces with mixed norms and applications
- Sampling multipliers and the Poisson summation formula
- 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
- Molecular decomposition of anisotropic homogeneous mixed-norm spaces with applications to the boundedness of operators
- A sampling theory for non-decaying signals
- 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
- An Improved Nyquist–Shannon Irregular Sampling Theorem From Local Averages
- CONVOLUTION OPERATORS ON BANACH SPACE VALUED FUNCTIONS
- Sampling-50 years after Shannon
- Dual spaces of anisotropic mixed-norm Hardy spaces
- Reconstruction of band-limited signals from local averages
- Nonuniform average sampling in multiply generated shift-invariant subspaces of mixed Lebesgue spaces
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