A class of functional equations associated with almost periodic functions

被引：0
作者：
J. M. Sepulcre
T. Vidal
机构：
[1] University of Alicante,Department of Mathematics
[2] University of Alicante,Faculty of Sciences
来源：
Aequationes mathematicae | 2021年 / 95卷
关键词：
Almost periodic functions; Dirichlet series; Bochner–Fejér summation method; Zeros of analytic functions; Functional equations; 42A75; 30D05; 39B32; 39Bxx; 30Axx;
D O I：
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中图分类号：
学科分类号：
摘要：
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.
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页码：91 / 105
页数：14
相关论文
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