Birkhoff-functions that are bounded on prescribed sets

被引:0
|
作者
Tatevik L. Gharibyan
Wolfgang Luh
Markus Nieß
机构
[1] Armenian National Academy of Sciences,Institute of Mathematics
[2] Universität Trier,Fachbereich IV Mathematik
来源
Archiv der Mathematik | 2006年 / 86卷
关键词
30D15; 30D40; 30E10;
D O I
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中图分类号
学科分类号
摘要
We prove the existence of entire functions which are universal under translations and bounded on certain prescribed sets. It is also shown that the family of all these universal functions is a dense but not a Gδ-subset in the space of entire functions provided with a natural metric.
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页码:261 / 267
页数:6
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