Local spectral asymptotics and heat kernel bounds for Dirac and Laplace operators

In this dissertation we study non-negative self-adjoint Laplace type operators acting on smooth sections of a vector bundle. First, we assume base manifolds are compact, boundaryless, and Riemannian. We start from the Fourier integral operator representation of half-wave operators, continue with spe...

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Bibliographic Details
Main Author: Liangpan Li
Format: Default Thesis
Published: 2016
Subjects:
Other mathematical sciences not elsewhere classified
Local spectral asymptotics
Heat kernel
Dirac operators
Laplace operators
Pseudo-differential operators
Fourier integral operators
Wodzicki residue
Finite propagation speed
Spectral determinant
Mathematical Sciences not elsewhere classified
Online Access:https://hdl.handle.net/2134/23004
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