Pseudodifferential calculus on manifolds with corners and groupoids
arXiv:funct-an/9707008
Abstract
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.
12 pages, LaTeX. This is a slight update from funct-an/9707008 (a citation was missing)