Nonlinear resolvent and rigidity of holomorphic mappings

DOI10.1007/978-3-031-25424-6_14zbMath1527.30014OpenAlexW4360971673MaRDI QIDQ6090754

David M. Shoikhet

Publication date: 17 November 2023

Published in: Harmonic Analysis and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-031-25424-6_14

zbMATH Keywords

one-parameter semigroupholomorphic generatorsholomorphically accretive mappings

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Research exposition (monographs, survey articles) pertaining to functions of a complex variable (30-02) General theory of univalent and multivalent functions of one complex variable (30C55)

Cites Work

• Another look at the Burns-Krantz theorem
• Linearization models for complex dynamical systems. Topics in univalent functions, functional equations and semigroup theory.
• Pseudo-contractions, rigidity, fixed points and related questions
• Rigidity of Holomorphic Mappings and a New Schwarz Lemma at the Boundary
• A sharp Schwarz inequality on the boundary
• Numerical Range of Holomorphic Mappings and Applications
• The Schwarz Lemma: Rigidity and Dynamics
• The Numerical Range of Holomorphic Functions in Banach Spaces
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