Topics in geometric and harmonic analysis on symmetric spaces and lie groups

Simpson, George (2019) Topics in geometric and harmonic analysis on symmetric spaces and lie groups. Doctoral thesis (PhD), University of Sussex.

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Abstract

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.

Item Type: Thesis (Doctoral)
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Subjects: Q Science > QA Mathematics > QA0299 Analysis. Including analytical methods connected with physical problems
Depositing User: Library Cataloguing
Date Deposited: 28 Jun 2019 08:29
Last Modified: 09 Aug 2021 08:53
URI: http://sro.sussex.ac.uk/id/eprint/84413

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