Two results on uniqueness of conformal mappings

DOI10.1080/02781070500140573zbMath1083.30010OpenAlexW2285715840MaRDI QIDQ5460593

Steven G. Krantz

Publication date: 18 July 2005

Published in: Complex Variables, Theory and Application: An International Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02781070500140573

zbMATH Keywords

fixed pointsautomorphismsconformal mapsisotropy group

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Conformal mappings of special domains (30C20) Extremal problems for conformal and quasiconformal mappings, other methods (30C75)

Related Items (2)

Characterization and non-characterization of domains by their isotropy groups ⋮ Automorphism group actions in complex analysis

Cites Work

• Unnamed Item
• Über Fixpunkte holomorpher Automorphismen
• Domains with non-compact automorphism group: a survey
• On fixed points and determining sets for holomorphic automorphisms
• On determining sets for holomorphic automorphisms
• Determination of a Domain in Complex Space by its Automorphism Group
• The Fixed Points of an Analytic Self-Mapping
• The Conformal Group of a Plane Domain

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