arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1503.00175math.CV
收藏

概周期零点集和殆周期函数的周期性

Periodicity of almost periodic zero sets and almost periodic functions

Sergii Yu. Favorov

摘要:

当两个全纯殆周期函数的零点之差构成一个离散集时,这两个函数都是周期可积的周期函数的无穷乘积.特别地,该结果对某些类型的狄利克雷级数是有效的.

英文摘要:

Whenever all differences between zeros of two holomorphic almost periodic functions in a strip form a discrete set, then both functions are infinite products of periodic functions with commensurable periods. In particular, the result is valid for some classes of Dirichlet series.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑