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B-值广义泛函值函数的Bochner-Wick积分 被引量:2

Bochner-Wick integrals of functions valued in B-valued generalized functionals
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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. With the help of Wick's integrational operation of Banaeh 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.
作者 陈金淑
出处 《兰州理工大学学报》 CAS 北大核心 2012年第4期136-139,共4页 Journal of Lanzhou University of Technology
关键词 白噪声分析 Banach空间值广义泛函 Bochner-Wick积分 white noise analysis B-valued generalized functional Bochner-Wick integral
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