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arxiv: 1504.00141 · v1 · pith:IMY6W2WTnew · submitted 2015-04-01 · 🧮 math.CV

Disjoint Hypercyclicity for families of Taylor-type Operators

classification 🧮 math.CV
keywords operatorsseriestayloruniversalconceptconditionconnectedd-hypercyclicity
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We give necessary and sufficient condition so that we have d-hypercyclicity for operators who map a holomorphic function to a partial sum of the Taylor expansion. This problem is connected with doubly universal Taylors series and this is an effort to generalize the concept to multiple universal Taylor series.

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