On the K "onigs function of semigroups of holomorphic self-maps of the\n unit disc

2018/04/27 by Filippo Bracci, Manuel D. Contreras, Bracci, Filippo +3 · 1 citation
Mathematics · #Advanced Differential Equations and Dynamical Systems #Algebraic and Geometric Analysis #Complex Variables (math.CV) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Holomorphic and Operator Theory #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.1804.10465

openalex publication_date 2018/04/27 · openalex created_date 2022/09/10 · openalex updated_date 2026/07/28

Abstract

Let (\φ_t) be a semigroup of holomorphic self-maps of~ mathbb D. In\nthis note, we use an abstract approach to define the K "onigs function of\n(\φ_t) and "holomorphic models" and show how to deduce the existence and\nproperties of the infinitesimal generator of (\φ_t) from this construction.\n

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