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Kernel Approximation on Compact Homogeneous Spaces

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thesis
posted on 28.11.2012, 10:06 by Carl Richard Odell
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.

History

Supervisor(s)

Levesley, Jeremy

Date of award

01/06/2012

Awarding institution

University of Leicester

Qualification level

Doctoral

Qualification name

PhD

Language

en

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