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arXiv · 1804.10465

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

Filippo Bracci·Manuel D. Contreras·Santiago Díaz-Madrigal
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Abstract

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

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Filippo Bracci, Manuel D. Contreras, Santiago Díaz-Madrigal. 2018-04-27. On the K\"onigs function of semigroups of holomorphic self-maps of the unit disc. https://arxiv.org/abs/1804.10465

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