English

On notions of harmonicity

Probability 2009-04-18 v2 Analysis of PDEs

Abstract

In this paper, we address the equivalence of the analytic and probabilistic notions of harmonicity in the context of general symmetric Hunt processes on locally compact separable metric spaces. Extensions to general symmetric right processes on Lusin spaces including infinite dimensional spaces are mentioned at the end of this paper.

Keywords

Cite

@article{arxiv.0810.5089,
  title  = {On notions of harmonicity},
  author = {Zhen-Qing Chen},
  journal= {arXiv preprint arXiv:0810.5089},
  year   = {2009}
}

Comments

Revision. To appear in Proc. Amer. Math. Soc

R2 v1 2026-06-21T11:35:49.196Z