On a new condition for strictly positive definite functions on spheres

DOI10.1090/S0002-9939-97-03634-4zbMath0863.43002OpenAlexW1559021739MaRDI QIDQ4332979

Michael Schreiner

Publication date: 19 February 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-97-03634-4

zbMATH Keywords

interpolationpositive definite functionsLegendre polynomialspherical interpolationstrictly positive definite

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Positive definite functions in one variable harmonic analysis (42A82) Interpolation in approximation theory (41A05) Harmonic analysis and spherical functions (43A90) Positive definite functions on groups, semigroups, etc. (43A35)

Related Items (12)

Strictly positive definite kernels on a product of circles ⋮ \(L_{p}\)-error estimates for radial basis function interpolation on the sphere ⋮ Computational aspects of Cui-Freeden statistics for equidistribution on the sphere ⋮ Angular spectra for non-Gaussian isotropic fields ⋮ A Petrov–Galerkin RBF method for diffusion equation on the unit sphere ⋮ On the validity of commonly used covariance and variogram functions on the sphere ⋮ Spherical process models for global spatial statistics ⋮ Strictly positive definite functions on a compact group ⋮ Harmonic singular integrals and steerable wavelets in \(L_2(\mathbb R^d)\) ⋮ Fast and accurate interpolation of large scattered data sets on the sphere ⋮ Estimation of the covariance function of Gaussian isotropic random fields on spheres, related Rosenblatt-type distributions and the cosmic variance problem ⋮ Error bounds for solving pseudodifferential equations on spheres by collocation with zonal kernels

Cites Work

• Unnamed Item
• Mathematical and numerical techniques in physical geodesy. Lectures delivered at the Fourth International Summer School in the Mountains on Mathematical and Numerical Techniques in Physical Geodesy, Admont, Austria, August 25 to September 5, 1986
• Spherical harmonics
• Positive definite functions on spheres
• Strictly Positive Definite Functions on Spheres
• Theory of Reproducing Kernels
• On a Problem of Mihlin

This page was built for publication: On a new condition for strictly positive definite functions on spheres