论文标题
在统一拓扑空间上的小组动作的抽象几乎是周期性
Abstract almost periodicity for group actions on uniform topological spaces
论文作者
论文摘要
我们提出了一个统一的理论，该理论几乎是在任意Banach空间中具有值的函数周期性的，该理论是通过几乎定期的元素在统一拓扑空间上的局部紧凑型阿贝尔组的作用进行衡量和分布的。我们讨论了Bohr和Bochner类型之间的关系几乎是周期性，以及类似的条件，以及此类条件之间的等效性与组作用的特性和均匀性之间的关系。我们通过演示如何在我们的框架中符合各种示例来完成论文。
We present a unified theory for the almost periodicity of functions with values in an arbitrary Banach space, measures and distributions via almost periodic elements for the action of a locally compact abelian group on a uniform topological space. We discuss the relation between Bohr and Bochner type almost periodicity, and similar conditions, and how the equivalence among such conditions relates to properties of the group action and the uniformity. We complete the paper by demonstrating how various examples considered earlier all fit in our framework.
