论文标题
无限维度的Ornstein-Uhlenbeck半群
Ornstein-Uhlenbeck semigroups in infinite dimension
论文作者
论文摘要
这是一份有关无限维度及其发电机中Ornstein-Uhlenbeck半群的调查文件。我们从Wiener空间中的古典Ornstein-Uhlenbeck Semigroup开始，然后在希尔伯特空间中讨论一般案例。最后，我们为Banach空间中的O-U半群提供了一些结果。
This is a survey paper about Ornstein-Uhlenbeck semigroups in infinite dimension, and their generators. We start from the classical Ornstein-Uhlenbeck semigroup in Wiener spaces and then discuss the general case in Hilbert spaces. Finally, we present some results for O-U semigroups in Banach spaces.
