Simpson, George.pdf (794.39 kB)
Topics in geometric and harmonic analysis on symmetric spaces and lie groups
thesis
posted on 2023-06-09, 18:07 authored by George SimpsonIn this thesis, we branch into both harmonic and geometric analysis. Within harmonic analysis, we look at differential actions Lp on hypergeometric series and Jacobi polynomials, where the latter are known to represent the zonal spherical functions on compact rank-one symmetric spaces. Within geometric analysis, we examine spherical twists as solutions to the Euler-Lagrange system associated with the Dirichlet energy and certain of its nonlinear extensions for sphere-valued mappings in suitable Sobolev spaces.
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- Published version
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126.0Department affiliated with
- Mathematics Theses
Qualification level
- doctoral
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- phd
Language
- eng
Institution
University of SussexFull text available
- Yes
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2019-06-28Usage metrics
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