期刊
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
卷 145, 期 10, 页码 4449-4464出版社
AMER MATHEMATICAL SOC
DOI: 10.1090/proc/13607
关键词
Universal series; Runge theorem
资金
- SQuaREs program at the American Institute of Mathematics
- Palo Alto and the Research in Pairs program at the Mathematisches Forshungsinstitut, Oberwolfach
- MINECO
- FEDER [MTM2014-57838-C2-2-P, Prometeo II/2013/013]
- NSERC
- Entente France-Quebec
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.
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