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, S., Pinasco, D., Savransky, M.
Formato: JOUR
Materias:
Composition operators
Differentiation operators
Frequently hypercyclic operators
Non-convolution operators
Strongly mixing operators
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_03794024_v77_n1_p39_Muro
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_03794024_v77_n1_p39_Muro
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spelling todo:paper_03794024_v77_n1_p39_Muro2023-10-03T15:33:26Z Hypercyclic behavior of some non-convolution operators on H(CN) Muro, S. Pinasco, D. Savransky, M. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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, S.
Pinasco, D.
Savransky, M.
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.
format JOUR
author Muro, S.
Pinasco, D.
Savransky, M.
author_facet Muro, S.
Pinasco, D.
Savransky, M.
author_sort Muro, S.
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)
url http://hdl.handle.net/20.500.12110/paper_03794024_v77_n1_p39_Muro
work_keys_str_mv AT muros hypercyclicbehaviorofsomenonconvolutionoperatorsonhcn
AT pinascod hypercyclicbehaviorofsomenonconvolutionoperatorsonhcn
AT savranskym hypercyclicbehaviorofsomenonconvolutionoperatorsonhcn
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