Average sampling and reconstruction in shift-invariant subspaces of mixed Lebesgue space L^p,q(ℝ^d+1)

DOI10.7153/MIA-2022-25-51zbMath1494.94029OpenAlexW4289209376MaRDI QIDQ5094448

Su-ping Wang

Publication date: 3 August 2022

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/mia-2022-25-51

zbMATH Keywords

error estimationsaverage samplingmixed Lebesgue spacenonuniform samplingiterative reconstruction algorithmshift-invariant subspace

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) Sampling theory in information and communication theory (94A20)

Cites Work

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• The spaces \(L^ p\), with mixed norm
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• 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
• Reconstruction of band-limited signals from local averages

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