# Positive Harmonic Functions on the Heisenberg group I

## TL;DR

This paper classifies positive harmonic functions on the Heisenberg group specifically for the southwest measure, advancing understanding of harmonic analysis in non-commutative geometric settings.

## Contribution

It provides a complete classification of positive harmonic functions on the Heisenberg group for a particular measure, which was previously uncharacterized.

## Key findings

- Complete classification of positive harmonic functions for the southwest measure
- New insights into harmonic analysis on the Heisenberg group
- Foundation for further studies in non-commutative harmonic analysis

## Abstract

We present the classification of positive harmonic functions on the Heisenberg group in the case of the southwest measure.