Heat kernel asymptotic expansions for the Heisenberg sub-Laplacian and the Grushin operator
2015 ◽
Vol 471
(2175)
◽
pp. 20140943
Keyword(s):
The sub-Laplacian on the Heisenberg group and the Grushin operator are typical examples of sub-elliptic operators. Their heat kernels are both given in the form of Laplace-type integrals. By using Laplace's method, the method of stationary phase and the method of steepest descent, we derive the small-time asymptotic expansions for these heat kernels, which are related to the geodesic structure of the induced geometries.
Keyword(s):
2013 ◽
Vol 95
(3)
◽
pp. 297-314
◽
Keyword(s):
1988 ◽
pp. 167-180
Keyword(s):
Keyword(s):
1999 ◽
Vol 42
(2)
◽
pp. 169-173
◽
Keyword(s):