数学物理学报(英文版) ›› 2002, Vol. 22 ›› Issue (3): 359-368.

• 论文 • 上一篇    下一篇

GAUSSIAN WHITE NOISE CALCULUS OF GENERALIZED EXPANSION

 陈泽乾   

  1. Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China
  • 出版日期:2002-07-15 发布日期:2002-07-15

GAUSSIAN WHITE NOISE CALCULUS OF GENERALIZED EXPANSION

 CHEN Ze-Qian   

  1. Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China
  • Online:2002-07-15 Published:2002-07-15

摘要:

A new framework of Gaussian white noise calculus is established, in line with generalized expansion in [3, 4, 7]. A suitable frame of Fock expansion is presented on Gaussian generalized expansion functionals being introduced here, which provides the integral kernel operator decomposition of the second quantization of Koopman operators for chaotic dynamical systems, in terms of annihilation operators @t and its dual, creation operators @t .

关键词: Gaussian white noise, generalized expansion functional, Fock expansion,chaotic dynamical systems, Koopman operator

Abstract:

A new framework of Gaussian white noise calculus is established, in line with generalized expansion in [3, 4, 7]. A suitable frame of Fock expansion is presented on Gaussian generalized expansion functionals being introduced here, which provides the integral kernel operator decomposition of the second quantization of Koopman operators for chaotic dynamical systems, in terms of annihilation operators @t and its dual, creation operators @t .

Key words: Gaussian white noise, generalized expansion functional, Fock expansion,chaotic dynamical systems, Koopman operator

中图分类号: 

  • 60H40