Pseudodifferential operators on manifolds with foliated boundaries
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Description
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]
Collections | ANU Research Publications |
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Date published: | 2012 |
Type: | Journal article |
URI: | http://hdl.handle.net/1885/24786 |
Source: | Journal of Functional Analysis |
DOI: | 10.1016/j.jfa.2011.11.007 |
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01_Rochon_Pseudodifferential_operators_2012.pdf | 397.46 kB | Adobe PDF | Request a copy |
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