Sampling Formulas Involving Differences in Shift-Invariant Subspaces: A Unified Approach
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Publication:4639210
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
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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