Hypercyclicity of convolution operators on spaces of entire functions
[Hypercyclicité d’opérateurs de convolution sur des espaces de fonctions entières]
Bertoloto, F.J.1 ; Botelho, G.1 ; Fávaro, V.V.1 ; Jatobá, A.M.1
1 Universidade Federal de Uberlândia Faculdade de Matemática 38.400-902 - Uberlândia (Brazil)
Annales de l'Institut Fourier, Tome 63 (2013) no. 4, pp. 1263-1283.

Dans cet article, nous utilisons les types d’holomorphie de Nachbin pour généraliser certains résultats récents concernant les opérateurs de convolutions hypercycliques sur les espaces de Fréchet de fonctions d’un nombre infini de variables complexes, entières, de type borné.

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

DOI : 10.5802/aif.2803
Classification : 32DXX, 47A16, 46G20
Keywords: Fréchet spaces of entire functions, hypercyclicity, convolution operators
Mot clés : Espaces de Fréchet de fonctions entières, hypercyclicité, opérateurs de convolution
Bertoloto, F.J. 1 ; Botelho, G. 1 ; Fávaro, V.V. 1 ; Jatobá, A.M. 1

1 Universidade Federal de Uberlândia Faculdade de Matemática 38.400-902 - Uberlândia (Brazil) 
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     title = {Hypercyclicity of convolution operators on spaces of entire functions},
     journal = {Annales de l'Institut Fourier},
     pages = {1263--1283},
     publisher = {Association des Annales de l{\textquoteright}institut Fourier},
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Bertoloto, F.J.; Botelho, G.; Fávaro, V.V.; Jatobá, A.M. Hypercyclicity of convolution operators on spaces of entire functions. Annales de l'Institut Fourier, Tome 63 (2013) no. 4, pp. 1263-1283. doi : 10.5802/aif.2803. http://www.numdam.org/articles/10.5802/aif.2803/

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