论文标题
$ c_ {a，b}^2 [0，t] $的cameron-storvick type定理
A Cameron-Storvick type theorem on $C_{a,b}^2[0,T]$ with applications
论文作者
论文摘要
本文的目的是建立一个非常通用的Cameron-Storvick定理，该定理涉及产品功能空间上功能的广义分析Feynman积分$ C_ {a，b}^2 [0，t] $。功能空间$ c_ {a，b} [0，t] $可以由与连续功能$ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ c_ $诱发。为此，我们首先介绍$ \ mathcal f_ {a_1，a_2}^{\，\，\，\，\，a，b} $ $ c_ {a，b}^2 [0，t] $，这是Kallianpur和Bromley fresnelly fresnel fresnell fresnell fresnell fresnell fresnell fresnell fresnell fresnell fresnell f _ mathcal f _ _________________2 $。然后，我们继续在产品功能空间上建立Cameron-Storvick Type定理$ C_ {A，B}^2 [0，T] $。 最后，我们使用cameron-storvick type定理来获得几个有意义的结果和示例。
The purpose of this paper is to establish a very general Cameron-Storvick theorem involving the generalized analytic Feynman integral of functionals on the product function space $C_{a,b}^2[0,T]$. The function space $C_{a,b}[0,T]$ can be induced by the generalized Brownian motion process associated with continuous functions $a$ and $b$. To do this we first introduce the class $\mathcal F_{A_1,A_2}^{\,\,a,b}$ of functionals on $C_{a,b}^2[0,T]$ which is a generalization of the Kallianpur and Bromley Fresnel class $\mathcal F_{A_1,A_2}$. We then proceed to establish a Cameron-Storvick type theorem on the product function space $C_{a,b}^2[0,T]$. Finally we use our Cameron--Storvick type theorem to obtain several meaningful results and examples.
