Recovery of Paley-Wiener functions using scattered translates of regular interpolators
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Publication:390529
DOI10.1016/j.jat.2013.04.010zbMath1285.94017arXiv1303.5959OpenAlexW2014206101MaRDI QIDQ390529
Publication date: 8 January 2014
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1303.5959
Trigonometric approximation (42A10) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Interpolation in approximation theory (41A05)
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Regular families of kernels for nonlinear approximation ⋮ Convergence and Regularization of Sampling Series ⋮ Cardinal interpolation with general multiquadrics: convergence rates ⋮ Nonuniform sampling and recovery of bandlimited functions in higher dimensions ⋮ Approximation rates for interpolation of Sobolev functions via Gaussians and allied functions ⋮ Recovery of bivariate band-limited functions using scattered translates of the Poisson kernel ⋮ On the structure and interpolation properties of quasi shift-invariant spaces ⋮ Stability and Robustness of RBF Interpolation
Cites Work
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- On the sensitivity of radial basis interpolation to minimal data separation distance
- The asymptotic cardinal function of the multiquadratic \(\varphi{}(r)=(r^ 2+c^ 2)^{1/2}\) as \(c{\rightarrow{}}\infty\)
- The recovery of irregularly sampled band limited functions via tempered splines
- On the sampling and recovery of bandlimited functions via scattered translates of the Gaussian
- Multiquadric \(B\)-splines
- On shifted cardinal interpolation by Gaussians and multiquadrics
- Radial Basis Functions
- Scattered Data Approximation
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