2013/10/17 by Atsushi Yamamori
Mathematics · #Algebraic and Geometric Analysis #Automorphism #Degree (music) #Holomorphic and Operator Theory #Mathematical analysis #Mathematics #Meromorphic and Entire Functions #Physics #Polynomial #Pure mathematics #math.CV #math.DG #math.FA
paper · pdf · doi:10.1016/j.bulsci.2013.10.002
10 pages. To appear in Bulletin des Sciences Mathematiques
openalex publication_date 2013/10/17 · arxiv created 2014/03/17 · arxiv updated 2014/03/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
It was shown by Kaup that every origin-preserving automorphism of quasi-circular domains is a polynomial mapping. In this paper, we study how the weight of quasi-circular domains and the degree of such automorphisms are related. By using the Bergman mapping, we prove that every origin-preserving automorphism of normal quasi-circular domains in \mathbb C2 is linear.