论文标题
多维几乎周期性的函数和应用
Multi-dimensional almost periodic type functions and applications
论文作者
论文摘要
在本文中，我们分析了多维$（{\ mathrm r} _ {x}，{\ Mathcal B}）$ - 几乎是周期性的类型函数和多维bohr $ {\ Mathcal B} $ - 几乎是周期性的类型函数。建立了引入的几乎周期性功能类别的主要结构特征和组成原理。我们的抽象理论结果在Banach空间中也提供了抽象理论结果的几种应用。
In this paper, we analyze multi-dimensional $({\mathrm R}_{X},{\mathcal B})$-almost periodic type functions and multi-dimensional Bohr ${\mathcal B}$-almost periodic type functions. The main structural characterizations and composition principles for the introduced classes of almost periodic functions are established. Several applications of our abstract theoretical results to the abstract Volterra integro-differential equations in Banach spaces are provided, as well.
