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- W2018085724 abstract "We associate to any manifold with corners (even with non-embedded hyperfaces) a (non-Hausdorff) longitudinally smooth Lie groupoid, on which we define a pseudodifferential calculus. This calculus generalizes the b-calculus of Melrose, defined for manifolds with embedded corners. The groupoid of a manifold with corners is shown to be unique up to equivalence for manifolds with corners of same codimension. Using tools from the theory of C∗-algebras of groupoids, we also obtain new proofs for the study of b-calculus." @default.
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- W2018085724 date "2003-04-01" @default.
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- W2018085724 title "Groupoids and pseudodifferential calculus on manifolds with corners" @default.
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- W2018085724 doi "https://doi.org/10.1016/s0022-1236(02)00038-1" @default.
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