SAMPLING EXPANSION IN SHIFT INVARIANT SPACES

DOI10.1142/S021969130800232XzbMath1268.42060OpenAlexW1998315126MaRDI QIDQ3521642

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Publication date: 26 August 2008

Published in: International Journal of Wavelets, Multiresolution and Information Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021969130800232x

zbMATH Keywords

truncation errorreproducing kernel Hilbert spacesampling expansionshift invariance space

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) Sampling theory in information and communication theory (94A20)

Related Items (12)

MULTI-CHANNEL SAMPLING ON SHIFT-INVARIANT SPACES WITH FRAME GENERATORS ⋮ Generalized average sampling in shift invariant spaces ⋮ Sampling Formulas Involving Differences in Shift-Invariant Subspaces: A Unified Approach ⋮ A local weighted average sampling and reconstruction theorem over shift invariant subspaces ⋮ Discrete linear differential equations ⋮ CONSISTENT SAMPLING WITH MULTI-, PRE- AND POST-FILTERINGS ⋮ Asymmetric multi-channel sampling in shift invariant spaces ⋮ Irregular and multi-channel sampling of operators ⋮ Riesz bases associated with regular representations of semidirect product groups ⋮ ON UNIFORM SAMPLING IN SHIFT-INVARIANT SPACES ASSOCIATED WITH THE FRACTIONAL FOURIER TRANSFORM DOMAIN ⋮ Average and convolution sampling over shift-invariant spaces ⋮ Average sampling expansions from regular and irregular samples over shift-invariant subspaces on LCA groups

Cites Work

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• On the sampling theorem for wavelet subspaces
• The structure of finitely generated shift-invariant spaces in \(L_ 2(\mathbb{R}^ d)\)
• A sampling theorem for shift-invariant subspace
• A sampling theorem for wavelet subspaces
• Sampling procedures in function spaces and asymptotic equivalence with shannon's sampling theory
• On sampling in shift invariant spaces
• Frames and Stable Bases for Shift-Invariant Subspaces of L₂(ℝ^d)
• The Zak transform and sampling theorems for wavelet subspaces
• AN ASPECT OF THE SAMPLING THEOREM
• CHANNELED SAMPLING IN SHIFT INVARIANT SPACES

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