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arxiv: 1210.4729 · v1 · pith:QFV7RU6Tnew · submitted 2012-10-17 · 🧮 math.AP

Exponential coordinates and regularity of groupoid heat kernels

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keywords groupoidheatasymptoticallyboundarycoordinateseuclideanexponentialkernel
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We prove that on an asymptotically Euclidean boundary groupoid, the heat kernel of the Laplacian is a smooth groupoid pseudo-differential operator.

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