A reflection principle for proper holomorphic mappings of strongly pseudoconvex domains and applications

1984 ◽  
Vol 186 (1) ◽  
pp. 1-8 ◽  
Author(s):  
Joseph A. Cima ◽  
Steven G. Krantz ◽  
Ted J. Suffridge
Keyword(s):  
Reflection Principle ◽  
Holomorphic Mappings ◽  
Pseudoconvex Domains ◽  
Strongly Pseudoconvex Domains ◽  
Proper Holomorphic Mappings

scholarly journals On proper holomorphic mappings from domains with T-action

1999 ◽  
Vol 154 ◽  
pp. 57-72 ◽  
Author(s):  
Bernard Coupet ◽  
Yifei Pan ◽  
Alexandre Sukhov
Keyword(s):  
Unit Circle ◽  
Finite Type ◽  
Holomorphic Mapping ◽  
Circular Domain ◽  
Holomorphic Mappings ◽  
Pseudoconvex Domains ◽  
Branch Locus ◽  
Proper Holomorphic Mapping ◽  
Proper Holomorphic Mappings

AbstractWe describe the branch locus of a proper holomorphic mapping between two smoothly bounded pseudoconvex domains of finite type in under the assumption that the first domain admits a transversal holomorphic action of the unit circle. As an application we show that any proper holomorphic self-mapping of a smoothly bounded pseudoconvex complete circular domain of finite type in is biholomorphic.

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