ON MULTIPLE WIENER INTEGRAL EXPANSIONS FOR D'-VALUED NONLINEAR RANDOM FUNCTIONALS  

作　　者：吴奖伦 

出　　处：《Acta Mathematica Scientia》1993年第2期220-228,共9页数学物理学报（B辑英文版）

摘　　要：In this paper, the multiple stochastic integral with respect to a Wiener D'-process is defined. And also it is shown that for a D'-valued nonlinear random functional there exists a sequence of multiple integral kernels such that the nonlinear functional can be expanded by series of multiple Wiener integrals of the integral kernels with respect to the Wiener D'-process.In this paper, the multiple stochastic integral with respect to a Wiener D'-process is defined. And also it is shown that for a D'-valued nonlinear random functional there exists a sequence of multiple integral kernels such that the nonlinear functional can be expanded by series of multiple Wiener integrals of the integral kernels with respect to the Wiener D'-process.

关 键 词：VALUED NONLINEAR RANDOM FUNCTIONALS ON MULTIPLE WIENER INTEGRAL EXPANSIONS FOR D ONB 

分 类 号：O1，O4[理学—数学]