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.
Identifer | oai:union.ndltd.org:bl.uk/oai:ethos.bl.uk:587548 |
Date | January 2012 |
Creators | Odell, Carl Richard |
Contributors | Levesley, Jeremy |
Publisher | University of Leicester |
Source Sets | Ethos UK |
Detected Language | English |
Type | Electronic Thesis or Dissertation |
Source | http://hdl.handle.net/2381/27598 |
Page generated in 0.0021 seconds