2012OdellCPhd.pdf (356.32 kB)
Kernel Approximation on Compact Homogeneous Spaces
thesis
posted on 2012-11-28, 10:06 authored by Carl Richard OdellThis 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, JeremyDate of award
2012-06-01Awarding institution
University of LeicesterQualification level
- Doctoral
Qualification name
- PhD