On the full calculus of pseudo-differential operators on boundary groupoids with polynomial growth
Analysis of PDEs
2013-02-28 v3 Differential Geometry
Abstract
In this paper, we enlarge the space of uniformly supported pseudo-differential operators on some groupoids by considering kernels satisfying certain asymptotic estimates. We show that such enlarged space contains the compact parametrix, and the generalized inverse of uniformly supported operators with Fredholm vector representation.
Keywords
Cite
@article{arxiv.1111.7274,
title = {On the full calculus of pseudo-differential operators on boundary groupoids with polynomial growth},
author = {Bing Kwan So},
journal= {arXiv preprint arXiv:1111.7274},
year = {2013}
}
Comments
v3: final version v2: corrected 4.12 and proof of 4.11