Harmonic Functions on Compactly Generated Groups

Autor:	Creutz, Darren
Rok vydání:	2020
Předmět:	Mathematics - Group Theory
Druh dokumentu:	Working Paper
Popis:	A compactly generated group is noncompact if and only if it admits a nonconstant harmonic function (for some, equivalently for every, reasonable measure). This generalizes the known fact that a finitely generated group is infinite if and only if it admits a nonconstant harmonic function (for some, equivalently every, reasonable measure).
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2012.07948 Zobrazit plný text záznamu View this record from Arxiv