On the full calculus of pseudo-differential operators on boundary groupoids with polynomial growth

Details On the full calculus of pseudo-differential operators on boundary groupoids with polynomial growth On the full calculus of pseudo-differential operators on boundary groupoids with polynomial growth

2011-11-30

arxiv.org/abs/1111.7274v2

Mathematics

Analysis of PDEs

v2: corrected 4.12 and proof of 4.11

Scientific paper

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.

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