| GAUSSIAN WHITE NOISE CALCULUS OF GENERALIZED EXPANSION |
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| 作者姓名： | 陈泽乾 |
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| 作者单位： | Chen Zeqian Wuhan Institute of Physics and Mathematics，Chinese Academy of Sciences，Wuhan 430071，China |
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| 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 dt and its dual, creation operators t*.
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GAUSSIAN WHITE NOISE CALCULUS OF GENERALIZED EXPANSION |
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| Chen Zeqian Wuhan Institute of Physics and Mathematics,Chinese Academy of Sciences,Wuhan ,China.GAUSSIAN WHITE NOISE CALCULUS OF GENERALIZED EXPANSION[J].Acta Mathematica Scientia,2002,22(3). |
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| Authors: | Chen Zeqian Wuhan Institute of Physics and Mathematics Chinese Academy of Sciences Wuhan China |
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| Institution: | Chen Zeqian Wuhan Institute of Physics and Mathematics,Chinese Academy of Sciences,Wuhan 430071,China |
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| 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 dt and its dual, creation operators t. |
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| Keywords: | Gaussian white noise generalized expansion functional Fock expansion chaotic dynamical systems Koopman operator |
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