Memorias de investigación
Research Publications in journals:
Hypercyclicity of translation operators in a reproducing kernel Hilbert space of entire functions induced by an analytic Hilbert-space- valued kernel
Year:2015
Research Areas
  • Mathematics
Information
Abstract
The study of the hypercyclicity of an operator is an old problem in mathematics; it goes back to a paper of Birkho 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.
International
Si
JCR
Si
Title
Osaka J Math
ISBN
0030-6126
Impact factor JCR
0,402
Impact info
Volume
52
Journal number
From page
581
To page
599
Month
SIN MES
Ranking
Participants
Research Group, Departaments and Institutes related
  • Creador: Grupo de Investigación: Grupo de Sistemas Dinámicos, Aprendizaje y Control (SISDAC)
  • Departamento: Matemática Aplicada a Las Tecnologías de la Información y Las Comunicaciones