论文标题
与复合泊松工艺相关的产品系统
Product systems associated to compound Poisson Processes
论文作者
论文摘要
在本文中,我们考虑了由随机措施产生的多参数产品系统的简单测试案例。我们将产品系统与固定的泊松过程和固定的复合泊松过程相关联。我们表明,由此产生的$ e_0 $ -semigroups是CCR流。
In this paper, we consider a simple test case of multiparameter product systems that arise out of random measures. We associate a product system to a stationary Poisson process and a stationary compound Poisson process. We show that the resulting $E_0$-semigroups are CCR flows.