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

zbMath1447.47017MaRDI QIDQ888443

Miguel Ángel Hernández-Medina, Alberto Portal, Antonio G. García

Publication date: 30 October 2015

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ojm/1437137610

zbMATH Keywords

Hilbert spacesHamburger moment problemreproducing kerneltranslation operatorsde Branges theoryhypercyclity

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) Cyclic vectors, hypercyclic and chaotic operators (47A16) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (1)

Linear dynamics in reproducing kernel Hilbert spaces

Cites Work

• On analytic sampling theory
• Operators with dense, invariant, cyclic vector manifolds
• Geometry of Müntz spaces and related questions
• On Lagrange-type interpolation series and analytic Kramer kernels
• The classical moment problem as a self-adjoint finite difference operator
• Classification of security properties in a Linda-like process algebra
• Sequences of derivatives and normal families
• The Zero-Removing Property and Lagrange-Type Interpolation Series
• Analytic Kramer kernels, Lagrange-type interpolation series and de Branges spaces
• The discrete Kramer sampling theorem and indeterminate moment problems
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