Sampling in shift-invariant spaces of functions with polynomial growth

DOI10.1080/00036811.2012.746963zbMath1285.41005OpenAlexW2027815049WikidataQ58249636 ScholiaQ58249636MaRDI QIDQ5404680

Alberto Portal, G. Pérez-Villalón

Publication date: 28 March 2014

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2012.746963

zbMATH Keywords

interpolationshift-invariant spacesaverage samplingcardinal splines

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Spline approximation (41A15) Sampling theory in information and communication theory (94A20)

Related Items (4)

Reconstruction of L-splines of polynomial growth from their local weighted average samples ⋮ On the zeros of the generalized Euler-Frobenius Laurent polynomial and reconstruction of cardinal splines of polynomial growth from local average samples ⋮ On weighted average interpolation with cardinal splines ⋮ Reconstruction of Multiply Generated Splines from Local Average Samples

Cites Work

• Unnamed Item
• Reconstruction of splines from local average samples
• Regular multivariate sampling and approximation in \(L^p\) shift-invariant spaces
• Generalized average sampling in shift invariant spaces
• A necessary and sufficient condition for the linear independence of the integer translates of a compactly supported distribution
• Average sampling in shift invariant subspaces with symmetric averaging functions
• Average sampling in spline subspaces
• Local Sampling and Reconstruction in Shift-Invariant Spaces and Their Applications in Spline Subspaces
• A sampling theorem for wavelet subspaces
• Wavelets

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