Pseudodifferential calculus on manifolds with corners and groupoids
funct-an
2008-02-03 v2 Operator Algebras
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.
Keywords
Cite
@article{arxiv.funct-an/9707008,
title = {Pseudodifferential calculus on manifolds with corners and groupoids},
author = {Bertrand Monthubert},
journal= {arXiv preprint arXiv:funct-an/9707008},
year = {2008}
}
Comments
12 pages, LaTeX. This is a slight update from funct-an/9707008 (a citation was missing)