PERTURBATION TECHNIQUES IN IRREGULAR SPLINE-TYPE SPACES

DOI10.1142/S0219691308002331zbMath1148.41007OpenAlexW2147166177MaRDI QIDQ5900237

José Luis Romero, Ursula M. Molter, Hans G. Feichtinger

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/s0219691308002331

zbMATH Keywords

samplingperturbationirregular samplingnonuniform samplingspline-type spaces

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) General harmonic expansions, frames (42C15) Spline approximation (41A15) Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Spaces of linear operators; topological tensor products; approximation properties (46A32) Banach spaces of continuous, differentiable or analytic functions (46E15) Linear spaces of operators (47L05) Miscellaneous applications of functional analysis (46N99)

Related Items (5)

On stability of sampling-reconstruction models ⋮ Random sampling of signals concentrated on compact set in localized reproducing kernel subspace of \(L^p (\mathbb{R}^n)\) ⋮ Sampling theorems for shift-invariant spaces, Gabor frames, and totally positive functions ⋮ Random sampling in multi-window quasi shift-invariant spaces ⋮ Sampling and Average Sampling in Quasi Shift-Invariant Spaces

Cites Work

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• The structure of finitely generated shift-invariant spaces in \(L_ 2(\mathbb{R}^ d)\)
• The structure of shift-invariant subspaces of \(L^2(\mathbb{R}^n)\)
• Beurling-Landau-type theorems for non-uniform sampling in shift invariant spline spaces
• Robustness of sampling and reconstruction and Beurling--Landau-type theorems for shift-invariant spaces
• Sampling set conditions in weighted multiply generated shift-invariant spaces and their applications
• On non-harmonic Fourier series
• Nonuniform Sampling and Reconstruction in Shift-Invariant Spaces
• Exact iterative reconstruction algorithm for multivariate irregularly sampled functions in spline-like spaces: The 𝐿^{𝑝}-theory
• Frames and Stable Bases for Shift-Invariant Subspaces of L₂(ℝ^d)

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