In this paper we will get a class of functional equations involving a countable set of terms, summed by the well known Bochner–Fejér summation procedure, which are closely associated with the set of almost periodic functions. We will show that the zeros of a prefixed almost periodic function determine analytic solutions of such a functional equation associated with it, and we will obtain other solutions which are analytic or meromorphic on a certain domain.

中文翻译：

---

与几乎周期函数相关的一类函数方程

在本文中，我们将获得一类包含可数项的函数方程，它们通过众所周知的Bochner-Fejér求和过程求和，该过程与几乎周期函数的集合紧密相关。我们将显示前缀几乎为周期性的函数的零点决定了与该函数相关联的该函数方程的解析解，并且我们将获得在特定域上解析或亚纯的其他解。