Interpolation by positive definite functions on locally compact groups with application to \(\text{SO} (3)\)
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Publication:1911979
DOI10.1007/BF03322206zbMath0849.65003OpenAlexW2043790442MaRDI QIDQ1911979
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
interpolationenergy functionallocally compact grouppositive definite functiongroup SO(3)molecular groups
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
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