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Title: Bounds on eigenfunctions and spectral functions on manifolds of negative curvature
Author: Mroz, Kamil
ISNI:       0000 0004 5352 1301
Awarding Body: Loughborough University
Current Institution: Loughborough University
Date of Award: 2014
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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.
Supervisor: Not available Sponsor: EPRSC
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: Laplace ; Riesz ; Means ; Counting function ; Fourier ; Tauberian