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Original Articles

White noise analysis and class II subgroups of the infinite dimensional rotation group

Pages 407-416 | Received 22 Apr 2010, Accepted 25 Aug 2010, Published online: 29 Nov 2011

References

  • Hida , T. 1970 . Stationary Stochastic Processes , Princeton, NJ : Princeton University Press .
  • Hida , T. 1980 . Brownian Motion , English ed. , Iwanami Pub. Co. 1975 New York : Springer-Verlag .
  • Hida , T. and Si , S. 2008 . Lectures on White Noise Functionals , Singapore : World Scientific Publishing Co. .
  • Hida , T. and Si , S. 2010 . “ Class II semi-subgroups of the infinite dimensional rotation group and associated Lie algebras ” . In Recent Development in Stochastic Dynamics and Stochastic Analysis , Edited by: Duan , J. 177 – 183 . Singapore : World Scientific Publishing Co. .
  • Khesin , B. and Wendt , R. 2009 . The Geometry of Infinite-Dimensional Groups , Berlin : Springer .
  • Kirillov , A.A. and Yur'ev , D.V. 1987 . Kähler geometry of the infinite-dimensional homogeneous space . Funct. Anal. Appl. , 21 ( 4 ) : 284 – 294 . Russian Original 1987
  • Rohlin , V.A. 1949 . On the fundamental ideas of measure theory . Mat. Sb. , 25 : 107 – 150 . AMS Transl. Ser. 1, Vol. 10 (1962), 1–54
  • T. Shimizu and S. Si, Professor Takeyuki Hida's Mathematical Notes. Informal Publication (2004)

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