| 基于混沌表示的广义Fock空间 |
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| 引用本文： | 吴莺. 基于混沌表示的广义Fock空间[J]. 应用数学, 2010, 23(3) |
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| 作者姓名： | 吴莺 |
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| 作者单位： | 华中科技大学数学与统计学院,湖北,武汉,430074 |
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| 摘 要： | 混沌表示是白噪声分析的关键.考虑目前的基于广义Fock空间的两种混沌分解所依赖的n粒子空间的内积,本文得到了这两种n粒子空间的内积以及两种广义Fock空间的关系.
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| 关 键 词： | 混沌分解 扩张Fock空间 交互作用Fock空间 重正化核(Wick张量幂) |
Generalized Fock Spaces Based on the Chaotic Representation |
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| WU Ying. Generalized Fock Spaces Based on the Chaotic Representation[J]. Mathematica Applicata, 2010, 23(3) |
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| Authors: | WU Ying |
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| Abstract: | The chaotic representation is crucial to the white noise theory. Consider the n-particle inner products in current generalized Fock spaces which the chaotic representation of functionals based on, we derive the relations between the two inner products as well as between the two generalized Fock spaces. |
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| Keywords: | Chaotic repressentation Extended Foek spaces Interacting Fock spaces Renormalization kernels (or Wick tensor powers) |
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