2001/06/03 by Kang-Tae Kim, Kang‐Tae Kim, Kim, Kang-Tae +2
Mathematics · #32H02 #32H50 #Advanced Topics in Algebra #Algebraic and Geometric Analysis #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #math.CV #math.FA #msc:32H02 #msc:32H50
paper · pdf · doi:10.48550/arxiv.math/0106015
arxiv created 2001/06/03 · openalex publication_date 2001/06/03 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let Ω be a bounded, convex domain in a separable Hilbert space. The authors prove a version of the theorem of Bun Wong, which asserts that if such a domain admits an automorphism orbit accumulating at a strongly pseudoconvex boundary point then it is biholomorphic to the ball. Key ingredients in the proof are a new localization argument using holomorphic peaking functions and the use of new ``normal families'' arguments in the construction of the limit biholomorphism.