| B-值广义泛函值函数的Bochner-Wick积分 |
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| 引用本文： | 陈金淑.B-值广义泛函值函数的Bochner-Wick积分[J].兰州理工大学学报,2012,38(4):136-139. |
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| 作者姓名： | 陈金淑 |
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| 作者单位： | 兰州理工大学理学院,甘肃兰州,730050 |
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| 摘 要： | 借助于Banach空间值白噪声广义泛函与经典白噪声广义泛函的Wick积分运算,定义Banach空间值白噪声广义泛函值函数关于白噪声广义泛函值测度的一种积分—Bochner-Wick积分,讨论这种积分的性质,建立相应的收敛定理.
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| 关 键 词： | 白噪声分析 Banach空间值广义泛函 Bochner-Wick积分 |
Bochner-Wick integrals of functions valued in B-valued generalized functionals |
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| CHEN Jin-shu.Bochner-Wick integrals of functions valued in B-valued generalized functionals[J].Journal of Lanzhou University of Technology,2012,38(4):136-139. |
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| Authors: | CHEN Jin-shu |
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| Institution: | CHEN Jin-shu(School of Science,Lanzhou Univ.of Tech.,Lanzhou 730050,China) |
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| Abstract: | With the help of Wick’s integrational operation of Banach space-valued generalized functionals of white noise and classical generalized functions of white noise,an integral called Bochner-Wick integral of a function valued in B-valued generalized functionals with respect to a measure which takes value in the space of generalized functionals was defined,its property was discussed,and corresponding convergence theorems were established. |
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| Keywords: | white noise analysis B-valued generalized functional Bochner-Wick integral |
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