Dense-lineability of sets of Birkhoff-universal functions with rapid decay

DOI10.1016/j.jmaa.2009.08.049zbMath1182.30101OpenAlexW2051046646MaRDI QIDQ1043933

Wolfgang Luh, Luis Bernal-González, María del Carmen Calderón-Moreno

Publication date: 10 December 2009

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.2009.08.049

zbMATH Keywords

Arakelian setgrowth of entire functionsBirkhoff-universal function

Mathematics Subject Classification ID

Entire functions of one complex variable (general theory) (30D20) Universal Taylor series in one complex variable (30K05)

Related Items (4)

Compositionally universal entire functions on the plane and the punctured plane ⋮ Lineability criteria, with applications ⋮ A dynamical characterization of sub-Arakelian subsets ⋮ Linear subsets of nonlinear sets in topological vector spaces

Cites Work

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• Existence et approximation des solutions des équations aux dérivées partielles et des équations de convolution
• Operators with dense, invariant, cyclic vector manifolds
• Universality of holomorphic functions bounded on closed sets
• Topological properties of level-sets of entire functions
• Genericity of wild holomorphic functions and common hypercyclic vectors.
• Recent developments in harmonic approximation, with applications
• Birkhoff-functions that are bounded on prescribed sets
• Permissible growth rates for Birkhoff type universal harmonic functions
• Mean Periodic Functions: Part I. Varieties Whose Annihilator Ideals Are Principal
• Rate of growth of frequently hypercyclic functions
• Frequently hypercyclic operators
• Frequently hypercyclic operators and vectors
• Better than Uniform Approximation on Closed Sets by Harmonic Functions with Singularities
• Universal families and hypercyclic operators
• "Counterexamples" to the harmonic Liouville theorem and harmonic functions with zero nontangential limits
• Linear Chaos on Fréchet Spaces
• Lineability and spaceability of sets of functions on $\mathbb {R}$

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