Pseudodifferential calculus on manifolds with corners and groupoids

Mathematics – Operator Algebras

Scientific paper

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12 pages, LaTeX. This is a slight update from funct-an/9707008 (a citation was missing)

Scientific paper

We build a longitudinally smooth differentiable groupoid associated to any manifold with corners. The pseudodifferential calculus on this groupoid coincides with the pseudodifferential calculus of Melrose (also called b-calculus). We also define an algebra of rapidly decreasing functions on this groupoid; it contains the kernels of the smoothing operators of the (small) b-calculus.

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