Hypercyclicity of translation operators in a reproducing kernel Hilbert space of entire functions induced by an analytic Hilbert-space- valued kernel

García García, Antonio and Hernandez Medina, Miguel Angel and Portal Ruiz, Alberto (2015). Hypercyclicity of translation operators in a reproducing kernel Hilbert space of entire functions induced by an analytic Hilbert-space- valued kernel. "Osaka Journal of Mathematics", v. 53 (n. 3); pp. 581-601. ISSN 0030-6126.

Description

Title: Hypercyclicity of translation operators in a reproducing kernel Hilbert space of entire functions induced by an analytic Hilbert-space- valued kernel
Author/s:
  • García García, Antonio
  • Hernandez Medina, Miguel Angel
  • Portal Ruiz, Alberto
Item Type: Article
Título de Revista/Publicación: Osaka Journal of Mathematics
Date: 2015
ISSN: 0030-6126
Volume: 53
Subjects:
Faculty: E.T.S.I. Telecomunicación (UPM)
Department: Matemática Aplicada a las Tecnologías de la Información y las Comunicaciones
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

The study of the hypercyclicity of an operator is an old problem in mathematics; it goes back to a paper of Birkhoff in 1929 proving the hypercyclicity of the translation operators in the space of all entire functions with the topology of uniform convergence on compact subsets. This article studies the hypercyclicity of translation operators in some general reproducing kernel Hilbert spaces of entire functions. These spaces are obtained by duality in a complex separable Hilbert space H by means of an analytic H-valued kernel. A link with the theory of de Branges spaces is also established. An illustrative example taken from the Hamburger moment problem theory is included.

Funding Projects

TypeCodeAcronymLeaderTitle
Government of SpainMTM2009-08345UnspecifiedUnspecifiedAproximación mediante fórmulas de muestreo en espacios invariantes por traslación: Aplicaciones

More information

Item ID: 41254
DC Identifier: http://oa.upm.es/41254/
OAI Identifier: oai:oa.upm.es:41254
Deposited by: Memoria Investigacion
Deposited on: 30 Aug 2016 16:46
Last Modified: 30 Aug 2016 16:46
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