Acta mathematica scientia,Series B ›› 2002, Vol. 22 ›› Issue (3): 359-368.

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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

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

CLC Number: 

  • 60H40
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