The density of translates of zonal kernels on compact homogeneous spaces

DOI10.1006/jath.1999.3432zbMath0947.41017OpenAlexW1984393031MaRDI QIDQ1976272

David L. Ragozin, Jeremy Levesley

Publication date: 24 July 2000

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/2fa78320563ef8170fc1f99015f71cb3aa8a0361

zbMATH Keywords

degree of approximationapproximation by polynomialsapproximation by special functions

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Approximation by other special function classes (41A30)

Related Items (9)

Approximating Probability Measures on Manifolds via Radial Basis Functions ⋮ Approximation by Positive Definite Functions on Compact Groups ⋮ Perturbed kernel approximation on homogeneous manifolds ⋮ Radial basis interpolation on homogeneous manifolds: convergence rates ⋮ Stability results for approximation by positive definite functions on \(SO(3)\) ⋮ Approximation in rough native spaces by shifts of smooth kernels on spheres ⋮ Energies, group-invariant kernels and numerical integration on compact manifolds ⋮ Universal kernels which are continuous on the diagonal ⋮ Fundamental Sets of Functions on Locally Compact Abelian Groups

Cites Work

• Generalised sk-spline interpolation on compact abelian groups
• The fundamentality of translates of a continuous function on spheres
• Fundamental sets of continuous functions on spheres
• Spherical harmonics
• Positive definite functions on spheres
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