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Pseudodifferential operators on manifolds with foliated boundaries

Rochon, Frederic


Let X be a smooth compact manifold with boundary. For smooth foliations on the boundary of X admitting a 'resolution' in terms of a fibration, we construct a pseudodifferential calculus generalizing the fibred cusp calculus of Mazzeo and Melrose. In particular, we introduce certain symbols leading to a simple description of the Fredholm operators inside the calculus. When the leaves of the fibration 'resolving' the foliation are compact, we also obtain an index formula for Fredholm...[Show more]

CollectionsANU Research Publications
Date published: 2012
Type: Journal article
Source: Journal of Functional Analysis
DOI: 10.1016/j.jfa.2011.11.007


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