On kernel engineering via Paley-Wiener

DOI10.1007/S10092-010-0025-6zbMath1223.41022OpenAlexW2044083706MaRDI QIDQ535342

Brad J. C. Baxter

Publication date: 11 May 2011

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10092-010-0025-6

zbMATH Keywords

radial basis functionscompact supportPaley-Wienerspherical average

Mathematics Subject Classification ID

Multidimensional problems (41A63) Interpolation in approximation theory (41A05) Rate of convergence, degree of approximation (41A25) Approximation by other special function classes (41A30)

Related Items (2)

Uniformly bounded Lebesgue constants for scaled cardinal interpolation with Matérn kernels ⋮ Improved estimates for condition numbers of radial basis function interpolation matrices

Cites Work

• Unnamed Item
• On spherical averages of radial basis functions
• Asymptotic theory of finite dimensional normed spaces. With an appendix by M. Gromov: Isoperimetric inequalities in Riemannian manifolds
• Convergence properties of radial basis functions
• Eigenvalues of euclidean distance matrices
• Norm estimates for inverses of Toeplitz distance matrices
• Convolution kernels based on thin-plate splines
• A note on the local stability of translates of radial basis functions
• Local stability of translates of polyharmonic splines in even space dimension
• Radial Basis Functions
• Convolution Operators for Radial Basis Approximation
• Scattered Data Approximation

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