In 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.
| Identifer | oai:union.ndltd.org:bl.uk/oai:ethos.bl.uk:617862 |
| Date | January 2014 |
| Creators | Mroz, Kamil |
| Publisher | Loughborough University |
| Source Sets | Ethos UK |
| Detected Language | English |
| Type | Electronic Thesis or Dissertation |
| Source | https://dspace.lboro.ac.uk/2134/15038 |
Page generated in 0.0021 seconds