We prove that on an asymptotically Euclidean boundary groupoid, the heat kernel of the Laplacian is a smooth groupoid pseudo-differential operator.
@article{bwmeta1.element.doi-10_2478_s11533-013-0338-1,
author = {Bing So},
title = {Exponential coordinates and regularity of groupoid heat kernels},
journal = {Open Mathematics},
volume = {12},
year = {2014},
pages = {284-297},
zbl = {1288.58011},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-013-0338-1}
}
Bing So. Exponential coordinates and regularity of groupoid heat kernels. Open Mathematics, Tome 12 (2014) pp. 284-297. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-013-0338-1/
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