| 白噪声分析中的梯度算子和散度算子 |
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| 引用本文： | 何声武,汪嘉冈.白噪声分析中的梯度算子和散度算子[J].应用概率统计,1997,13(1):63-74. |
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| 作者姓名： | 何声武 汪嘉冈 |
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| 作者单位： | 华东师范大学!上海(何声武，姚蓉勤)，华东理工大学!上海(汪嘉冈) |
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| 摘 要： | 在白噪声分析的框架中，我们给出了广义Weiner泛函空间上的梯度算子和散度算子的定义与公式，并利用梯度和散度算子以及适应投影建立了广义泛函的表示公式．也证明了积分核算子可用梯度与散度算子表出．
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| 关 键 词： | 白噪声分析 梯度算子 散度算子 积分核算子 |
The Gradient and Divergent Operators in White Noise Analysis |
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| HE SHENGWU, YAO RONGQIN.The Gradient and Divergent Operators in White Noise Analysis[J].Chinese Journal of Applied Probability and Statisties,1997,13(1):63-74. |
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| Authors: | HE SHENGWU YAO RONGQIN |
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| Abstract: | In the framework of white noise analysis initiated by T. Hida, we give the denfinitions andforlmulae of multivariate gradient and divergent operators on the generalized Wiener functionalspace, and the representation formula for generalized functionals by using gradent and divergentoperators and adapted projection. It is also shown that integral kernel operators can be expressedin terms of gradient and divergent operators. |
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| Keywords: | white noise analysis gradient operator divergent operator integral kernel operator |
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