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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Average under the Iwasawa transformation
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by Ming Liao and Longmin Wang PDF
Proc. Amer. Math. Soc. 135 (2007), 895-901 Request permission

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.
References
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Additional Information
  • Ming Liao
  • Affiliation: Department of Mathematics, Auburn University, Auburn, Alabama 36849
  • MR Author ID: 214970
  • Email: liaomin@auburn.edu
  • Longmin Wang
  • Affiliation: Department of Mathematics, Nankai University, Tianjin, People’s Republic of China
  • MR Author ID: 776837
  • Email: wanglm@nankai.edu.cn
  • 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
  • © Copyright 2006 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 135 (2007), 895-901
  • MSC (2000): Primary 22E46; Secondary 43A80
  • DOI: https://doi.org/10.1090/S0002-9939-06-08508-X
  • MathSciNet review: 2262888