Thesis-2014-Mroz.pdf (2.55 MB)
Bounds on eigenfunctions and spectral functions on manifolds of negative curvature
thesis
posted on 2014-06-26, 12:32 authored by Kamil MrozIn this dissertation we study the Laplace operator acting on functions on a smooth,
compact Riemannian manifold. Our approach is based on the study of the spectrum
of the aforementioned operator. The main objects of
our interest are the counting function of the Laplacian and its Riesz means. We discuss the asymptotics of aforementioned functions when the argument approaches infinity.
Funding
EPRSC
History
School
- Science
Department
- Mathematical Sciences
Publisher
© Kamil MrozPublication date
2014Notes
A Doctoral Thesis. Submitted in partial fulfilment of the requirements for the award of Doctor of Philosophy of Loughborough University.EThOS Persistent ID
uk.bl.ethos.617862Language
- en