Reconstruction of functions in spline subspaces from local averages

DOI10.1090/S0002-9939-03-07082-5zbMath1026.94004OpenAlexW1541095470MaRDI QIDQ4804113

Xing-Wei Zhou, Wen-chang Sun

Publication date: 10 April 2003

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-03-07082-5

zbMATH Keywords

average samplingsampling theoremsspline subspaces

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Spline approximation (41A15)

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Cites Work

• Average sampling theorems for shift invariant subspaces
• Irregular sampling theorems and series expansions of band-limited functions
• Errors in truncated sampling series with measured sampled values for non-necessarily bandlimited functions
• Frames and sampling theorem
• Irregular sampling in wavelet subspaces
• Average sampling in spline subspaces
• Beurling-Landau-type theorems for non-uniform sampling in shift invariant spline spaces
• Sampling theorem for wavelet subspaces: error estimate and irregular sampling
• A sampling theorem for wavelet subspaces
• Iterative Reconstruction of Multivariate Band-Limited Functions from Irregular Sampling Values
• Ten Lectures on Wavelets
• Reconstruction Algorithms in Irregular Sampling
• Recovery of Bandlimited Signals from Unequally Spaced Samples
• Error analysis in regular and irregular sampling theory
• Sampling procedures in function spaces and asymptotic equivalence with shannon's sampling theory
• Irregular sampling theorems for wavelet subspaces
• The Zak transform and sampling theorems for wavelet subspaces
• Irregular sampling for spline wavelet subspaces
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