NEW STRIPS OF CONVERGENCE FOR DIRICHLET SERIES

被引：2

作者：

Defant, Andreas ^{[1
]}

Garcia, Domingo ^{[2
]}

Maestre, Manuel ^{[2
]}

机构：

[1] Carl von Ossietzky Univ Oldenburg, Fachbereich Math, D-26111 Oldenburg, Germany

[2] Univ Valencia, Dept Anal Matemat, Burjassot 46100, Valencia, Spain

来源：

PUBLICACIONS MATEMATIQUES | 2010年 / 54卷 / 02期

关键词：

Dirichlet series; power series; polynomials; THEOREM;

D O I：

10.5565/PUBLMAT_54210_05

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article we study the interplay of the theory of classical Dirichlet series in one complex variable with recent development on monomial expansions of holomorphic functions in infinitely many variables. For a given Dirichlet series we obtain new strips of convergence in the complex plane related to Bohr's classical strips of uniform but non absolute convergence.

引用

页码：369 / 388

页数：20

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