DIRICHLET APPROXIMATION AND UNIVERSAL DIRICHLET SERIES

被引：8

作者：

Aron, Richard M. ^{[1
]}

Bayart, Frederic ^{[2
]}

Gauthier, Paul M. ^{[3
]}

Maestre, Manuel ^{[4
]}

Nestoridis, Vassili ^{[5
]}

机构：

[1] Kent State Univ, Dept Math Sci, Kent, OH 44242 USA

[2] Univ Blaise Pascal, Lab Math, BP 10448, F-63000 Clermont Ferrand, France

[3] Univ Montreal, Dept Math & Stat, Montreal, PQ H3C 3J7, Canada

[4] Univ Valencia, Dept Anal Matemat, Doctor Moliner 50, Burjassot 46100, Valencia, Spain

[5] Univ Athens, Dept Math, Athens 15784, Greece

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2017年 / 145卷 / 10期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Universal series; Runge theorem; ANALYTIC-FUNCTIONS; ABSTRACT THEORY; SPACE;

D O I：

10.1090/proc/13607

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We characterize the uniform limits of Dirichlet polynomials on a right half plane. In the Dirichlet setting, we find approximation results, with respect to the Euclidean distance and to the chordal one as well, analogous to classical results of Runge, Mergelyan and Vituskin. We also strengthen the notion of universal Dirichlet series.

引用

页码：4449 / 4464

页数：16

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