On bounded universal functions

DOI10.1007/BF03321823zbMath1252.30034OpenAlexW1999410667MaRDI QIDQ428954

Andreas Vogt

Publication date: 25 June 2012

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03321823

zbMATH Keywords

approximation in the complex domainentire functionsbounded universal functionscompositional universalitymultiplicative universal functions

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Entire functions of one complex variable (general theory) (30D20) Linear composition operators (47B33) Cyclic vectors, hypercyclic and chaotic operators (47A16) Compositional universality (30K20) Universal functions of one complex variable (30K15)

Cites Work

• Linear chaos
• Universality of holomorphic functions bounded on closed sets
• Universal functions on complex general linear groups
• Genericity of wild holomorphic functions and common hypercyclic vectors.
• Birkhoff-functions that are bounded on prescribed sets
• Universal families and hypercyclic operators
• Entire functions with various universal properties
• U-Operators
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