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math.AP2012
Exponential coordinates and regularity of groupoid heat kernels
Bing Kwan So
We prove that on an asymptotically Euclidean boundary groupoid, the heat kernel of the Laplacian is a smooth groupoid pseudo-differential operator.
math.AP2011
On the full calculus of pseudo-differential operators on boundary groupoids with polynomial growth
Bing Kwan So
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 t…
math.AP2010★ 6 cited
Pseudo-differential operators, heat calculus and index theory of groupoids satisfying the Lauter-Nistor condition
Bing Kwan So
In this thesis, we study singular pseudo-differential operators defined by groupoids satisfying the Lauter-Nistor condition, by a method parallel to that of manifolds with boundary…