Exponential coordinates and regularity of groupoid heat kernels

2012/10/17 by So, Bing Kwan · 1 citation
#35S05 #58H05 #58J05 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1210.4729

Abstract

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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• A Volterra Calculus for Lie Groupoids

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