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Growth of (frequently) hypercyclic functions for differential operators

Tom 207 / 2011

Hans-Peter Beise, Jürgen Müller Studia Mathematica 207 (2011), 97-115 MSC: 30K99, 30D15, 47B38. DOI: 10.4064/sm207-2-1

Streszczenie

We investigate the conjugate indicator diagram or, equivalently, the indicator function of (frequently) hypercyclic functions of exponential type for differential operators. This gives insights into growth conditions for these functions on particular rays or sectors. Our research extends known results in several respects.

Autorzy

  • Hans-Peter BeiseFB IV, Mathematics
    University of Trier
    D-54286 Trier, Germany
    e-mail
  • Jürgen MüllerFB IV, Mathematics
    University of Trier
    D-54286 Trier, Germany
    e-mail

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