Growth of (frequently) hypercyclic functions for differential operators

Hans-Peter Beise; Jürgen Müller

Studia Mathematica (2011)

  • Volume: 207, Issue: 2, page 97-115
  • ISSN: 0039-3223

Abstract

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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.

How to cite

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Hans-Peter Beise, and Jürgen Müller. "Growth of (frequently) hypercyclic functions for differential operators." Studia Mathematica 207.2 (2011): 97-115. <http://eudml.org/doc/285907>.

@article{Hans2011,
abstract = {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.},
author = {Hans-Peter Beise, Jürgen Müller},
journal = {Studia Mathematica},
keywords = {frequently hypercyclic operators; growth conditions; functions of exponential type; integral transforms},
language = {eng},
number = {2},
pages = {97-115},
title = {Growth of (frequently) hypercyclic functions for differential operators},
url = {http://eudml.org/doc/285907},
volume = {207},
year = {2011},
}

TY - JOUR
AU - Hans-Peter Beise
AU - Jürgen Müller
TI - Growth of (frequently) hypercyclic functions for differential operators
JO - Studia Mathematica
PY - 2011
VL - 207
IS - 2
SP - 97
EP - 115
AB - 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.
LA - eng
KW - frequently hypercyclic operators; growth conditions; functions of exponential type; integral transforms
UR - http://eudml.org/doc/285907
ER -

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