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The heat kernel on H-type groups
Author(s):
Qiaohua
Yang;
Fuliu
Zhu
Journal:
Proc. Amer. Math. Soc.
136
(2008),
1457-1464.
MSC (2000):
Primary 22E25, 35A08
Posted:
December 21, 2007
MathSciNet review:
2367120
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Additional information
Abstract:
In this paper we present an explicit calculation of the heat kernel for the sub-Laplacian on an H-type group  by using irreducible unitary representations of  and the heat kernel for the associated Hermite operator.
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Additional Information:
Qiaohua
Yang
Affiliation:
School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, People's Republic of China
Address at time of publication:
Wuhan Institute of Physics and Mathematics, The Chinese Academy of Sciences, P.O. Box 71010, Wuhan 430071, People's Republic of China
Email:
qaohyang2465@yahoo.com.cn
Fuliu
Zhu
Affiliation:
School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, People's Republic of China
Email:
flzhu@whu.edu.cn
DOI:
10.1090/S0002-9939-07-09257-X
PII:
S 0002-9939(07)09257-X
Keywords:
H-type groups,
sub-Laplacian,
heat kernel,
Hermite operator
Received by editor(s):
March 30, 2006
Posted:
December 21, 2007
Additional Notes:
The first author was supported by the National Science Foundation of China under grant number 10571044.
Communicated by:
David S. Tartakoff
Copyright of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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