Work

On discrete subgroups of the complex unit ball

Year: 2025

Type: article

Abstract: In this paper, we study conditions for a discrete subgroup of the automorphism group of the ‐dimensional complex unit ball to be of convergence type or second kind, connecting these classifications to the existence of Green's functions and subharmonic or harmonic functions on its quotient space. Furthermore, we extend the definitions of convergence and divergence types to bounded symmetric domains, introducing a Poincaré series and providing a new criterion for discrete subgroups acting on these domains.

Source: Mathematische Nachrichten

DOI: 10.1002/mana.70037

Author: Aeryeong Seo

Institution: Kyungpook National University

Language: English

Topic: Holomorphic and Operator Theory

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,460

Funder: National Research Foundation of Korea