We describe the extremal positive harmonic functions for finitely supported measures on the discrete Heisenberg group: they are proportional either to characters or to translates of induced from characters.
Nous décrivons les fonctions harmoniques positives extrémales pour les mesures à support fini sur le groupe de Heisenberg discret : elles sont proportionnelles à des caractères ou à des translatées d’induites de caractères.
@article{JEP_2021__8__973_0,
author = {Yves Benoist},
title = {Positive harmonic functions on {the~Heisenberg} group {II}},
journal = {Journal de l{\textquoteright}\'Ecole polytechnique {\textemdash} Math\'ematiques},
pages = {973--1003},
publisher = {\'Ecole polytechnique},
volume = {8},
year = {2021},
doi = {10.5802/jep.163},
language = {en},
url = {https://jep.centre-mersenne.org/articles/10.5802/jep.163/}
}
TY - JOUR TI - Positive harmonic functions on the Heisenberg group II JO - Journal de l’École polytechnique — Mathématiques PY - 2021 DA - 2021/// SP - 973 EP - 1003 VL - 8 PB - École polytechnique UR - https://jep.centre-mersenne.org/articles/10.5802/jep.163/ UR - https://doi.org/10.5802/jep.163 DO - 10.5802/jep.163 LA - en ID - JEP_2021__8__973_0 ER -
Yves Benoist. Positive harmonic functions on the Heisenberg group II. Journal de l’École polytechnique — Mathématiques, Volume 8 (2021), pp. 973-1003. doi : 10.5802/jep.163. https://jep.centre-mersenne.org/articles/10.5802/jep.163/
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