论文标题
从功能分析的角度来看，里曼尼亚歧管中的随机整合
Stochastic integration in Riemannian manifolds from a functional-analytic point of view
论文作者
论文摘要
本文介绍了从纯粹的功能分析的角度来看，在里曼尼语流形中的随机整合概念的结构。我们表明，有许多这样的积分，并且其中任何两个都是通过简单公式关联的。我们还发现，概率理论家已知的Stratonovich和Itô积分是本文构建的一般概念的两个实例。
This article presents a construction of the concept of stochastic integration in Riemannian manifolds from a purely functional-analytic point of view. We show that there are infinitely many such integrals, and that any two of them are related by a simple formula. We also find that the Stratonovich and Itô integrals known to probability theorists are two instances of the general concept constructed herein.
