Interpolation by positive definite functions on locally compact groups with application to \(\text{SO} (3)\)

DOI10.1007/BF03322206zbMath0849.65003OpenAlexW2043790442MaRDI QIDQ1911979

Tim Gutzmer

Publication date: 3 November 1996

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03322206

zbMATH Keywords

interpolationenergy functionallocally compact grouppositive definite functiongroup SO(3)molecular groups

Mathematics Subject Classification ID

General theory of numerical analysis in abstract spaces (65J05) Numerical interpolation (65D05) Positive definite functions on groups, semigroups, etc. (43A35)

Related Items (8)

Approximation by Positive Definite Functions on Compact Groups ⋮ Kernel-based methods for inversion of the Radon transform on SO(3) and their applications to texture analysis ⋮ Probabilistic Marcinkiewicz-Zygmund inequalities on the rotation group ⋮ Fast summation of functions on the rotation group ⋮ Stability results for approximation by positive definite functions on \(SO(3)\) ⋮ Surface spline approximation on \(SO(3)\) ⋮ Generalised sk-spline interpolation on compact abelian groups ⋮ Convolutions on the sphere: commutation with differential operators

Cites Work

• Positive definite functions and generalizations, an historical survey
• Error estimates and condition numbers for radial basis function interpolation
• Positive definite functions on spheres
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