Skip navigation
Skip navigation

The spectral measure on non-trapping asymptotically hyperbolic manifolds

Chen, Xi

Description

In this thesis we systematically discuss the spectral measure on non-trapping asymptotically hyperbolic manifolds and related applications in spectral multipliers and Schrodinger equations. Spectral measure is a notion from spectral theory and can be studied via resolvent by Stone's formula. Following the works, due to Mazzeo and Melrose, Melrose, Sa Barreto and Vasy, we construct high energy resolvent by techniques such as the 0-calculus, semiclassical Fourier integral operators, semiclassical...[Show more]

CollectionsOpen Access Theses
Date published: 2015
Type: Thesis (PhD)
URI: http://hdl.handle.net/1885/156129
DOI: 10.25911/5d5149352d078

Download

File Description SizeFormat Image
b37327379_Chen_Xi.pdf302.5 MBAdobe PDFThumbnail


Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.

Updated:  19 May 2020/ Responsible Officer:  University Librarian/ Page Contact:  Library Systems & Web Coordinator