Universal properties of harmonic functions on trees

DOI10.1016/j.jmaa.2016.03.078zbMath1358.31001OpenAlexW2315076273MaRDI QIDQ313482

Massimo A. Picardello, Vassilis Nestoridis, Evgeny V. Abakumov

Publication date: 12 September 2016

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.2016.03.078

zbMATH Keywords

harmonic functionsinfinite treesboundary of a treetransition coefficientsuniversal harmonic functions

Mathematics Subject Classification ID

Discrete potential theory (31C20) Discrete analytic functions (30G25)

Related Items (5)

Universal properties of the isotropic Laplace operator on homogeneous trees ⋮ Dynamics of weighted shifts on directed trees ⋮ Algebraic genericity of frequently universal harmonic functions on trees ⋮ Generalized harmonic functions on trees: universality and frequent universality ⋮ Frequently dense harmonic functions and universal martingales on trees

Cites Work

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• Universal Taylor series
• Baire's category theorem and trigonometric series
• Frequently hypercyclic operators
• The Lusin area function and local admissible convergence of harmonic functions on homogeneous trees
• Universal families and hypercyclic operators
• Local admissible convergence of harmonic functions on non-homogeneous trees
• Abstract theory of universal series and applications
• UNIVERSAL RADIAL LIMITS OF HOLOMORPHIC FUNCTIONS

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