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Title: Kernel Approximation on Compact Homogeneous Spaces
Authors: Odell, Carl Richard
Supervisors: Levesley, Jeremy
Award date: 1-Jun-2012
Presented at: University of Leicester
Abstract: This thesis is concerned with approximation on compact homogeneous spaces. The first part of the research involves a particular kind of compact homogeneous space, the hypersphere, S ͩˉ¹ embedded in R ͩ. It is a calculation of three integrals associated with approximation using radial basis functions, calculating the Fourier-Gegenbauer coefficients for two such functions. The latter part of the research is a calculation of an error bound for compact homogeneous spaces when interpolating with a G-invariant kernel, a generalisation of a result already known for spheres.
Type: Thesis
Level: Doctoral
Qualification: PhD
Rights: Copyright © the author, 2012
Appears in Collections:Theses, Dept. of Mathematics

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