Stability results for approximation by positive definite functions on \(SO(3)\)

DOI10.1016/j.jat.2008.01.006zbMath1154.41004OpenAlexW2031680772MaRDI QIDQ953827

Dominik Schmid, Frank-Dieter Filbir

Publication date: 6 November 2008

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

Full work available at URL: https://doi.org/10.1016/j.jat.2008.01.006

zbMATH Keywords

stabilitypositive definite functionsrotation groupscattered data approximation

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Approximation by other special function classes (41A30)

Related Items

Approximation by Positive Definite Functions on Compact Groups, Probabilistic Marcinkiewicz-Zygmund inequalities on the rotation group, Fast summation of functions on the rotation group, Surface spline approximation on \(SO(3)\)

Cites Work

• Radial basis functions and corresponding zonal series expansions on the sphere
• Kernel-based methods for inversion of the Radon transform on SO(3) and their applications to texture analysis
• Stability results for scattered-data interpolation on Euclidean spheres
• Limit characters of reductive Lie groups
• Generalized Hermite interpolation and positive definite kernels on a Riemannian manifold
• Interpolation by positive definite functions on locally compact groups with application to \(\text{SO} (3)\)
• The density of translates of zonal kernels on compact homogeneous spaces
• Stability Results for Scattered Data Interpolation by Trigonometric Polynomials
• Polynomial approximation on the sphere using scattered data
• Scattered Data Approximation
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