A sharpened form of the inverse function theorem

DOI10.17951/a.2019.73.2.59-67zbMath1439.30047OpenAlexW3002572425MaRDI QIDQ5211684

Mark Elin, David M. Shoikhet

Publication date: 28 January 2020

Published in: Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.17951/a.2019.73.2.59-67

zbMATH Keywords

holomorphic functioninverse function theoremnonlinear resolvent

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Abstract inverse mapping and implicit function theorems involving nonlinear operators (47J07)

Cites Work

• Linearization models for complex dynamical systems. Topics in univalent functions, functional equations and semigroup theory.
• On the size of balls covered by analytic transformations
• Untersuchungen über schlichte Abbildungen
• On hyperbolically convex functions
• Geometric properties of the nonlinear resolvent of holomorphic generators
• Numerical Range of Holomorphic Mappings and Applications
• Dissipative holomorphic functions, Bloch radii, and the Schwarz lemma
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