Hypercyclicity of convolution operators on spaces of entire functions

F.J. Bertoloto[1]; G. Botelho[1]; V.V. Fávaro[1]; A.M. Jatobá[1]

  • [1] Universidade Federal de Uberlândia Faculdade de Matemática 38.400-902 - Uberlândia (Brazil)

Annales de l’institut Fourier (2013)

  • Volume: 63, Issue: 4, page 1263-1283
  • ISSN: 0373-0956

Abstract

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In this paper we use Nachbin’s holomorphy types to generalize some recent results concerning hypercyclic convolution operators on Fréchet spaces of entire functions of bounded type of infinitely many complex variables

How to cite

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Bertoloto, F.J., et al. "Hypercyclicity of convolution operators on spaces of entire functions." Annales de l’institut Fourier 63.4 (2013): 1263-1283. <http://eudml.org/doc/275674>.

@article{Bertoloto2013,
abstract = {In this paper we use Nachbin’s holomorphy types to generalize some recent results concerning hypercyclic convolution operators on Fréchet spaces of entire functions of bounded type of infinitely many complex variables},
affiliation = {Universidade Federal de Uberlândia Faculdade de Matemática 38.400-902 - Uberlândia (Brazil); Universidade Federal de Uberlândia Faculdade de Matemática 38.400-902 - Uberlândia (Brazil); Universidade Federal de Uberlândia Faculdade de Matemática 38.400-902 - Uberlândia (Brazil); Universidade Federal de Uberlândia Faculdade de Matemática 38.400-902 - Uberlândia (Brazil)},
author = {Bertoloto, F.J., Botelho, G., Fávaro, V.V., Jatobá, A.M.},
journal = {Annales de l’institut Fourier},
keywords = {Fréchet spaces of entire functions; hypercyclicity; convolution operators},
language = {eng},
number = {4},
pages = {1263-1283},
publisher = {Association des Annales de l’institut Fourier},
title = {Hypercyclicity of convolution operators on spaces of entire functions},
url = {http://eudml.org/doc/275674},
volume = {63},
year = {2013},
}

TY - JOUR
AU - Bertoloto, F.J.
AU - Botelho, G.
AU - Fávaro, V.V.
AU - Jatobá, A.M.
TI - Hypercyclicity of convolution operators on spaces of entire functions
JO - Annales de l’institut Fourier
PY - 2013
PB - Association des Annales de l’institut Fourier
VL - 63
IS - 4
SP - 1263
EP - 1283
AB - In this paper we use Nachbin’s holomorphy types to generalize some recent results concerning hypercyclic convolution operators on Fréchet spaces of entire functions of bounded type of infinitely many complex variables
LA - eng
KW - Fréchet spaces of entire functions; hypercyclicity; convolution operators
UR - http://eudml.org/doc/275674
ER -

References

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