Universal entire functions for affine endomorphisms of \(\mathbb C^N\)

DOI10.1016/j.jmaa.2004.12.031zbMath1071.32002OpenAlexW2020768227MaRDI QIDQ1773321

Luis Bernal-González

Publication date: 28 April 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.12.031

zbMATH Keywords

composition operatorholomorphic convexityendomorphism of \(\mathbb C^N\)universal entire function

Mathematics Subject Classification ID

Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Entire functions of several complex variables (32A15) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (10)

Universality of holomorphic functions bounded on closed sets ⋮ A note on frequent hypercyclicity of operators that \(\lambda \)-commute with the differentiation operator ⋮ Power bounded composition operators on spaces of analytic functions ⋮ Composition and differentiation operators and fast approximation ⋮ Some open problems on holomorphic foliation theory ⋮ Hypercyclic composition operators on spaces of real analytic functions ⋮ A note on mean ergodic composition operators on spaces of holomorphic functions ⋮ Hypercyclic operators on algebra of symmetric analytic functions on $\ell_p$ ⋮ Hypercyclicity of composition operators in Stein manifolds ⋮ Dynamics of weighted composition operators on function spaces defined by local properties

Cites Work

• Operators with dense, invariant, cyclic vector manifolds
• Universal functions on complex general linear groups
• On the group of holomorphic automorphisms of \(\mathbb{C}{}^ n\)
• Sequences of differential operators: exponentials, hypercyclicity and equicontinuity
• Cyclic phenomena for composition operators
• Holomorphic Maps from C n to C n
• Universal Vectors for Operators on Spaces of Holomorphic Functions
• Universal families and hypercyclic operators
• UNIVERSAL HOLOMORPHIC FUNCTIONS IN SEVERAL VARIABLES
• Universal functions for composition operators
• One parameter automorphism groups onC²
• On approximation by euclidean and non-euclidean translations of an analytic function
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