Multivariate irregular sampling theorem

DOI10.1007/S11425-009-0139-YzbMath1177.94114OpenAlexW2044830884MaRDI QIDQ1047862

Gen Sun Fang, Guang-Gui Chen

Publication date: 6 January 2010

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-009-0139-y

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Approximation by operators (in particular, by integral operators) (41A35) Remainders in approximation formulas (41A80) Sampling theory in information and communication theory (94A20)

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The convergence rates of Shannon sampling learning algorithms

Cites Work

• A Mathematical Theory of Communication
• Density of wavelet frames
• Explicit irregular sampling formulas
• Kramer's sampling theorem for multidimensional signals and its relationship with Lagrange-type interpolations
• A sampling theorem for signals bandlimited to a general domain in several dimensions
• Irregular sampling of bandlimited \(L^ p\)-functions
• Whittaker-Kotelnikov-Shannon sampling theorem and aliasing error
• Classical and approximate sampling theorems; studies in the \(L^{p}(\mathbb R)\) and the uniform norm
• Nonuniform Sampling and Reconstruction in Shift-Invariant Spaces
• ON CONSISTENT ESTIMATES OF THE SPECTRAL DENSITY OF A STATIONARY TIME SERIES
• Five short stories about the cardinal series
• Sampling in a Hilbert space
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