On stability of sampling-reconstruction models
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Publication:2391076
DOI10.1007/s10444-008-9083-6zbMath1166.62300arXiv0705.4309OpenAlexW2040282102MaRDI QIDQ2391076
Ernesto Acosta-Reyes, Akram Al-Droubi, Ilya A. Krishtal
Publication date: 24 July 2009
Published in: Advances in Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0705.4309
Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Applications of functional analysis in probability theory and statistics (46N30) Sufficiency and information (62B99)
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Cites Work
- Unnamed Item
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- General sampling theorems for functions in reproducing kernel Hilbert spaces
- Stability of Gabor frames with arbitrary sampling points
- Slanted matrices, Banach frames, and sampling
- Average sampling in shift invariant subspaces with symmetric averaging functions
- Non-uniform weighted average sampling and reconstruction in shift-invariant and wavelet spaces
- Localization of frames, Banach frames, and the invertibility of the frame operator
- 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
- Nonuniform Sampling and Reconstruction in Shift-Invariant Spaces
- Nonuniform Average Sampling and Reconstruction of Signals with Finite Rate of Innovation
- Wiener’s lemma for twisted convolution and Gabor frames
- On sampling in shift invariant spaces
- Reconstruction of functions in spline subspaces from local averages
- Error estimation for non-uniform sampling in shift invariant space
- A Class of Nonharmonic Fourier Series
- PERTURBATION TECHNIQUES IN IRREGULAR SPLINE-TYPE SPACES
- Modern sampling theory. Mathematics and applications
