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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

The heat kernel on H-type groups


Authors: Qiaohua Yang and Fuliu Zhu
Journal: Proc. Amer. Math. Soc. 136 (2008), 1457-1464
MSC (2000): Primary 22E25, 35A08
Published electronically: December 21, 2007
MathSciNet review: 2367120
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Abstract: In this paper we present an explicit calculation of the heat kernel for the sub-Laplacian on an H-type group $ G$ by using irreducible unitary representations of $ G$ 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: http://dx.doi.org/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
Published electronically: 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
Article copyright: © Copyright 2007 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.