Sampling Formulas Involving Differences in Shift-Invariant Subspaces: A Unified Approach

DOI10.1080/01630563.2017.1406946zbMath1387.42040arXiv1709.03893OpenAlexW2964162547MaRDI QIDQ4639210

Antonio G. García, María José Muñoz-Bouzo

Publication date: 3 May 2018

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.03893

zbMATH Keywords

averagesforward and backward differencesshift-invariant subspacessampling formulasdual Riesz bases

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) Sampling theory in information and communication theory (94A20) Interpolation and approximation (educational aspects) (97N50)

Cites Work

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• Modeling sampling in tensor products of unitary invariant subspaces
• Generalized average sampling in shift invariant spaces
• Convolution, average sampling, and a Calderon resolution of the identity for shift-invariant spaces
• Multivariate generalized sampling in shift-invariant spaces and its approximation properties
• Cardinal spline filters: Stability and convergence to the ideal sinc interpolator
• On the sampling theorem for wavelet subspaces
• The structure of finitely generated shift-invariant spaces in \(L_ 2(\mathbb{R}^ d)\)
• Average sampling in spline subspaces
• The Kramer sampling theorem revisited
• Riesz bases in \(L^{2}(0,1)\) related to sampling in shift-invariant spaces
• Dual frames in \(L^2(0,1)\) connected with generalized sampling in shift-invariant spaces
• Nonuniform Sampling and Reconstruction in Shift-Invariant Spaces
• Sampling Theory and Reproducing Kernel Hilbert Spaces
• SAMPLING EXPANSION IN SHIFT INVARIANT SPACES
• A sampling theorem for wavelet subspaces
• Approximation from Shift-Invariant Subspaces of L 2 (ℝ d )
• Sampling procedures in function spaces and asymptotic equivalence with shannon's sampling theory
• Approximation from Shift-Invariant Spaces by Integral Operators
• Sampling-50 years after Shannon
• On sampling in shift invariant spaces
• An introduction to frames and Riesz bases

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