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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.|
|Rights: ||Copyright © the author, 2012|
|Appears in Collections:||Theses, Dept. of Mathematics|
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