Abstract theory of universal series and an application to Dirichlet series

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• 作者：Vassili Nestoridis and Chris Papadimitropoulos
• 刊名：Comptes Rendus Mathematique
• 出版年：2005
• 出版时间：2005
• 年：2005
• 卷：341
• 期：9
• 页码：539-543
• 全文大小：106 K

文摘

We present an abstract theory of universal series; in particular, we give a necessary and sufficient condition for the existence of universal series of a certain type. Most of the known results can be proved or strengthened by using this condition. We also obtain new results, for example, related to universal Dirichlet series. To cite this article: V. Nestoridis, C. Papadimitropoulos, C. R. Acad. Sci. Paris, Ser. I 341 (2005).