Acta mathematica scientia,Series A ›› 2012, Vol. 32 ›› Issue (2): 349-355.

• Articles • Previous Articles     Next Articles

An Inequality on Parabolic M\"{o}bius Groups in Infinite Dimension and |Their Application

LI Liu-Lan   

  1. Department of Mathematics and Computational Science, Hengyang Normal University, Hunan Hengyang 421008
  • Received:2010-10-23 Revised:2012-03-01 Online:2012-04-25 Published:2012-04-25
  • Supported by:

    湖南省自然科学基金(10JJ4005)、湖南省教育厅青年基金(11B019)和衡阳市科技发展计划项目(2010KJ22)资助

Abstract:

In this paper, an inequality on parabolic M\"{o}bius transformations in infinite dimension is obtained by using Clifford algebra. An application is also given.

Key words: Parabolic M\"obius transformation in infinite dimension, Clifford algebra

CLC Number: 

  • 30F40
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