Disjoint universality for families of Taylor-type operators

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• 作者：V. Vlachou ^{vvlachou@math.upatras.gr}
• 关键词：Universal Taylor series ; Multiple universality ; Disjoint universality
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2017
• 出版时间：15 April 2017
• 年：2017
• 卷：448
• 期：2
• 页码：1318-1330
• 全文大小：341 K
• 卷排序：448

文摘

We give a necessary and sufficient condition so that we have disjoint universality for sequences of operators that map a holomorphic function to a partial sum of its Taylor expansion. This problem is connected with doubly universal Taylor series and this is an effort to generalize the concept to multiply universal Taylor series.