Algebraic genericity of frequently universal harmonic functions on trees

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:489

Article

Biehler, N.¹  Nestoridis, V¹  Stavrianidi, A.^1,2 

[1] Natl & Kapodistrian Univ Athens, Dept Math, Athens 15784, Greece

[2] Stanford Univ, Dept Math, 450 Jane Stanford Way, Stanford, CA 94305 USA

关键词: Infinite trees;    Harmonic functions;    Boundary of a tree;    Universal functions;    Frequently universal functions;    Baire's theorem;   

DOI  :  10.1016/j.jmaa.2020.124132

来源: Elsevier

【 摘 要 】

We show that the set of frequently universal harmonic functions on a tree T contains a vector space except 0 which is dense in the space of harmonic functions on T seen as subset of C-T. In order to prove this we replace the complex plane C by any separable Frechet space E and we repeat all the theory. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

Free