Mathematics – Operator Algebras
Scientific paper
1997-07-22
Mathematics
Operator Algebras
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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