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

 

Average under the Iwasawa transformation


Authors: Ming Liao and Longmin Wang
Journal: Proc. Amer. Math. Soc. 135 (2007), 895-901
MSC (2000): Primary 22E46; Secondary 43A80
Published electronically: August 28, 2006
MathSciNet review: 2262888
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Abstract: We derive an averaging property under the Iwasawa decomposition on a semisimple Lie group of noncompact type based on a limiting property of random walks in the Lie group.


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Additional Information

Ming Liao
Affiliation: Department of Mathematics, Auburn University, Auburn, Alabama 36849
Email: liaomin@auburn.edu

Longmin Wang
Affiliation: Department of Mathematics, Nankai University, Tianjin, People’s Republic of China
Email: wanglm@nankai.edu.cn

DOI: http://dx.doi.org/10.1090/S0002-9939-06-08508-X
PII: S 0002-9939(06)08508-X
Keywords: Iwasawa decomposition
Received by editor(s): April 6, 2005
Received by editor(s) in revised form: September 27, 2005
Published electronically: August 28, 2006
Additional Notes: This paper was completed during the first author’s visit to Nankai University and was supported by Nankai University.
Communicated by: Ronald A. Fintushel
Article copyright: © Copyright 2006 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.