Leicester Research Archive >
College of Science and Engineering >
Mathematics, Department of >
Theses, Dept. of Mathematics >
Please use this identifier to cite or link to this item:
|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|
Items in LRA are protected by copyright, with all rights reserved, unless otherwise indicated.