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

Muro, Luis Santiago Miguel; Pinasco, Damian; Savransky, Martin

Artículos de revistas

Fecha

2017-01

Registro en:

Muro, Luis Santiago Miguel; Pinasco, Damian; Savransky, Martin; Hypercyclic behavior of some non-convolution operators on H(CN); Theta Foundation; Journal Of Operator Theory; 77; 1; 1-2017; 39-59

0379-4024

http://hdl.handle.net/11336/53339

1841-7744

CONICET Digital

CONICET

http://repositorioslatinoamericanos.uchile.cl/handle/2250/1865098

Autor

Muro, Luis Santiago Miguel

Pinasco, Damian

Savransky, Martin

Institución

Consejo Nacional de Investigaciones Científicas y Tecnológicas (Argentina)

Resumen

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.

Materias

COMPOSITION OPERATORS

DIFFERENTIATION OPERATORS

FREQUENTLY HYPERCYCLIC OPERATORS

NON-CONVOLUTION OPERATORS

STRONGLY MIXING OPERATORS

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