Hypercyclic behavior of some non-convolution operators on H(CN)

We study hypercyclicity properties of a family of non-convolution operators defined on the spaces of entire functions on CN. These operators are a composition of a differentiation operator and an affine composition operator, and are analogues of operators studied by Aron and Markose on H(C). The hyp...

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Autores principales: Muro, Santiago, Pinasco, Damián
Publicado: 2017
Materias:
Composition operators
Differentiation operators
Frequently hypercyclic operators
Non-convolution operators
Strongly mixing operators
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03794024_v77_n1_p39_Muro
http://hdl.handle.net/20.500.12110/paper_03794024_v77_n1_p39_Muro
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_03794024_v77_n1_p39_Muro
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spelling paper:paper_03794024_v77_n1_p39_Muro2023-06-08T15:40:38Z Hypercyclic behavior of some non-convolution operators on H(CN) Muro, Santiago Pinasco, Damián Composition operators Differentiation operators Frequently hypercyclic operators Non-convolution operators Strongly mixing operators We study hypercyclicity properties of a family of non-convolution operators defined on the spaces of entire functions on CN. These operators are a composition of a differentiation operator and an affine composition operator, and are analogues of operators studied by Aron and Markose on H(C). The hypercyclic behavior is more involved than in the one dimensional case, and depends on several parameters involved. © by Theta, 2017. Fil:Muro, S. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Pinasco, D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2017 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03794024_v77_n1_p39_Muro http://hdl.handle.net/20.500.12110/paper_03794024_v77_n1_p39_Muro
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Composition operators
Differentiation operators
Frequently hypercyclic operators
Non-convolution operators
Strongly mixing operators
spellingShingle Composition operators
Differentiation operators
Frequently hypercyclic operators
Non-convolution operators
Strongly mixing operators
Muro, Santiago
Pinasco, Damián
Hypercyclic behavior of some non-convolution operators on H(CN)
topic_facet Composition operators
Differentiation operators
Frequently hypercyclic operators
Non-convolution operators
Strongly mixing operators
description We study hypercyclicity properties of a family of non-convolution operators defined on the spaces of entire functions on CN. These operators are a composition of a differentiation operator and an affine composition operator, and are analogues of operators studied by Aron and Markose on H(C). The hypercyclic behavior is more involved than in the one dimensional case, and depends on several parameters involved. © by Theta, 2017.
author Muro, Santiago
Pinasco, Damián
author_facet Muro, Santiago
Pinasco, Damián
author_sort Muro, Santiago
title Hypercyclic behavior of some non-convolution operators on H(CN)
title_short Hypercyclic behavior of some non-convolution operators on H(CN)
title_full Hypercyclic behavior of some non-convolution operators on H(CN)
title_fullStr Hypercyclic behavior of some non-convolution operators on H(CN)
title_full_unstemmed Hypercyclic behavior of some non-convolution operators on H(CN)
title_sort hypercyclic behavior of some non-convolution operators on h(cn)
publishDate 2017
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03794024_v77_n1_p39_Muro
http://hdl.handle.net/20.500.12110/paper_03794024_v77_n1_p39_Muro
work_keys_str_mv AT murosantiago hypercyclicbehaviorofsomenonconvolutionoperatorsonhcn
AT pinascodamian hypercyclicbehaviorofsomenonconvolutionoperatorsonhcn
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