关于解析概周期函数零点的实投影

IF 1.4 4区数学 Q1 MATHEMATICS

Carpathian Journal of Mathematics Pub Date : 2022-02-28 DOI:10.37193/cjm.2022.02.18

J. M. Sepulcre, T. Vidal

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引用次数: 0

摘要

本文讨论了定义在垂直条带上的解析概周期函数的零点实投影集。利用我们在类狄利克雷级数表示的复函数中引入的等价关系，为确定实数是否属于这一集的闭包提供了实际结果t表明，在解析概周期函数的傅立叶指数在有理数上线性无关的情况下，这样的集合没有孤立点。“

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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"On the real projections of zeros of analytic almost periodic functions"

"This paper deals with the sets of real projections of zeros of analytic almost periodic functions defined in a vertical strip. By using our equivalence relation introduced in the context of the complex functions which can be represented by a Dirichlet-like series, this work provides practical results in order to determine whether a real number belongs to the closure of such a set. Its main result shows that, in the case that the Fourier exponents of an analytic almost periodic function are linearly independent over the rational numbers, such a set has no isolated points."

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来源期刊

Carpathian Journal of Mathematics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.40

自引率

7.10%

发文量

审稿时长

>12 weeks

期刊介绍： Carpathian Journal of Mathematics publishes high quality original research papers and survey articles in all areas of pure and applied mathematics. It will also occasionally publish, as special issues, proceedings of international conferences, generally (co)-organized by the Department of Mathematics and Computer Science, North University Center at Baia Mare. There is no fee for the published papers but the journal offers an Open Access Option to interested contributors.