On cardinal interpolation by Gaussian radial-basis functions: Properties of fundamental functions and estimates for Lebesgue constants
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Publication:5943738
DOI10.1007/BF02788236zbMath0988.41011OpenAlexW2061029077MaRDI QIDQ5943738
Sherman D. Riemenschneider, N. Sivakumar
Publication date: 17 September 2001
Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02788236
Related Items (21)
Uniformly bounded Lebesgue constants for scaled cardinal interpolation with Matérn kernels ⋮ A Fourier error analysis for radial basis functions on an infinite uniform grid. II: Spectral-plus is special ⋮ Regular families of kernels for nonlinear approximation ⋮ The uselessness of the fast Gauss transform for summing Gaussian radial basis function series ⋮ On the sampling and recovery of bandlimited functions via scattered translates of the Gaussian ⋮ Convergence and Regularization of Sampling Series ⋮ A Fourier error analysis for radial basis functions and the discrete singular convolution on an infinite uniform grid. I: Error theorem and diffusion in Fourier space ⋮ Cardinal interpolation with general multiquadrics: convergence rates ⋮ Summation of Gaussian shifts as Jacobi's third theta function ⋮ Wiener-Hopf difference equations and semi-cardinal interpolation with integrable convolution kernels ⋮ Cardinal interpolation with Gaussian kernels ⋮ On monotone approximation of piecewise continuous monotone functions with the help of translations and dilations of the Laplace integral ⋮ Convergence and error theorems for Hermite function pseudo-RBFs: interpolation on a finite interval by Gaussian-localized polynomials ⋮ Approximation rates for interpolation of Sobolev functions via Gaussians and allied functions ⋮ Cardinal interpolation with general multiquadrics ⋮ The limiting behavior of certain sampling series and cardinal splines ⋮ Mercer Kernels and Integrated Variance Experimental Design: Connections Between Gaussian Process Regression and Polynomial Approximation ⋮ Asymptotic coefficients for Gaussian radial basis function interpolants ⋮ On the application of Gaussian functions for discretization of optimal control problems ⋮ Interpolation of exponential-type functions on a uniform grid by shifts of a basis function ⋮ On the convergence of regular families of cardinal interpolators
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- On the Cardinal Spline Interpolant to $e^{iut} $
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