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Resolvent at low energy and Riesz transform for Schrodinger operators on asymptotically conic manifolds. II

Guillarmou, Colin; Hassell, Andrew


Let Mo be a complete noncompact manifold of dimension at least 3 and g an asymptotically conic metric on Mo, in the sense that M o compactifies to a manifold with boundary M so that g becomes a scattering metric on M. We study the resolvent kernel (P + k2) -1 and Riesz transform T of the operator P - δg + V, where δg is the positive Laplacian associated to g and V is a real potential function smooth on M and vanishing at the boundary. In our first paper we assumed that P has neither zero modes...[Show more]

CollectionsANU Research Publications
Date published: 2009
Type: Journal article
Source: Annales de l'Institut Fourier


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