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Title: Topics in geometric and harmonic analysis on symmetric spaces and Lie groups
Author: Simpson, George
ISNI:       0000 0004 7967 3901
Awarding Body: University of Sussex
Current Institution: University of Sussex
Date of Award: 2019
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In 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.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: QA0299 Analysis. Including analytical methods connected with physical problems