Holomorphic monsters

DOI10.1016/0021-9045(88)90060-3zbMath0669.30020OpenAlexW2912028935MaRDI QIDQ1118717

Wolfgang Luh

Publication date: 1988

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(88)90060-3

zbMATH Keywords

cluster setsuniversal function

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Cluster sets, prime ends, boundary behavior (30D40)

Related Items

Universal families and hypercyclic operators, Universal functions are automatically universal in the sense of Menchoff, Strongly omnipresent operators: general conditions and applications to composition operators, Multiply universal holomorphic functions, Universal functions on complex general linear groups, Harmonic monsters., Interpolation by universal, hypercyclic functions, Non-normal sequences of holomorphic functions and universality, Maximal cluster sets on spaces of holomorphic functions, Holomorphic functions with universal boundary behaviour, Identical approximative sequence for various notions of universality, U-Operators, Joint universality for sums and products of Dirichlet L-functions, Operators with dense images everywhere, Holomorphic surjectivity near the boundary: topological and algebraic genericity, Universal entire functions with gap power series, Holomorphic \(T\)-monsters and strongly omnipresent operators, Baire's category theorem and trigonometric series, Simultaneously maximal radial cluster sets, Linear subsets of nonlinear sets in topological vector spaces, Restricted \(T\)-universal functions, Strongly omnipresent integral operators, Dense linear manifolds of monsters

Cites Work

• Werteverteilung von Zetafunktionen
• Universalfunktionen in einfach zusammenhängenden Gebieten
• Universelle Approximation durch Riesz-Transformierte der geometrischen Reihe
• Summierbarkeit der geometrischen Reihe auf vorgeschriebenen Mengen
• Über den Satz von Mergelyan
• Approximation by overconvergence of a power series
• A universal Blaschke product
• SUMMABILITY OF POWER SERIES ON PRESCRIBED SETS BY REGULAR RIESZ METHODS
• A Universal Power Series for Approximation of Measurable Functions
• Über cluster sets analytischer Funktionen
• On approximation by euclidean and non-euclidean translations of an analytic function
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item