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Title: An invariant approach to symbolic calculus for pseudodifferential operators on manifolds
Author: Battistotti, Paolo
ISNI:       0000 0004 5918 6890
Awarding Body: King's College London
Current Institution: King's College London (University of London)
Date of Award: 2015
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In this work we present a symbolic calculus for ΨDOs on a smooth manifold M based on a suitable notion of the global phase function. In previous literature on the topic, either local coordinates or connections have been used to define the phase functions, symbols and oscillatory integrals defining ΨDOs. We obtain global formulae for the compositions and adjoints of ΨDOs. Applications are given to elliptic ΨDOs, boundedness on Sobolev spaces and functional calculus for elliptic ΨDOs.
Supervisor: Safarov, Yuri Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available