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Local Hardy spaces and quadratic estimates for Dirac type operators on Riemannian manifolds

Morris, Andrew Jordan

Description

The connection between quadratic estimates and the existence of a bounded holomorphic functional calculus of an operator provides a framework for applying harmonic analysis to the theory of differential operators. This is a generalization of the connection between Littlewood--Paley--Stein estimates and the functional calculus provided by the Fourier transform. We use the former approach in this thesis to study first-order differential operators on Riemannian manifolds. The theory developed is...[Show more]

CollectionsOpen Access Theses
Date published: 2012-01-23
Type: Thesis (PhD)
URI: http://hdl.handle.net/1885/8864

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