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Universal holomorphic maps with slow growth
报告人:谢松晏(中科院数学所) 时间:2024年1月28日16:00-17:00 字号:

报告地点:腾讯会议 958431451

邀请人:黄益副教授

摘要:By means of hypercyclic operator theory, we complement our previous results on hypercyclic holomorphic maps between complex Euclidean spaces having slow growth rates, by showing abstract abundance rather than explicit existence. Next, we establish that, in the space of holomorphic maps from C^n to any connected Oka manifold Y, equipped with the compact-open topology, there exists a dense subset consisting of common frequently hypercyclic elements for all nontrivial translation operators. To our knowledge, this is new even for n=1 and Y=C.


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