Harmonic functions on compactly generated groups
Abstract
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).
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Feb 21, 2022
- Source ID
- 10.1142/s0129167x22500264
Entities
People
- Darren Creutz
Organizations
- United States Naval Academy