On spherical averages of radial basis functions

DOI10.1007/s10208-007-9021-xzbMath1149.41015OpenAlexW2047338944MaRDI QIDQ941799

Brad J. C. Baxter

Publication date: 2 September 2008

Published in: Foundations of Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://eprints.bbk.ac.uk/id/eprint/1920/1/1920.pdf

zbMATH Keywords

Radial basis functionsthin plate splinepolyharmonic splinespherical average

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Multidimensional problems (41A63) Spline approximation (41A15) Approximation by other special function classes (41A30) Analysis on specific locally compact and other abelian groups (43A70)

Related Items (3)

Uniformly bounded Lebesgue constants for scaled cardinal interpolation with Matérn kernels ⋮ Foreword ⋮ On kernel engineering via Paley-Wiener

Uses Software

• Matlab

Cites Work

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• Interpolation of scattered data: distance matrices and conditionally positive definite functions
• Polyharmonic cardinal splines
• Asymptotic theory of finite dimensional normed spaces. With an appendix by M. Gromov: Isoperimetric inequalities in Riemannian manifolds
• Convergence properties of radial basis functions
• Norm estimates for inverses of Toeplitz distance matrices
• Random matrix theory
• Radial Basis Functions
• Scattered Data Approximation

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