The Julia-Wolff-Carath\'eodory theorem and its generalizations
Jasmin Raissy
TL;DR
This paper introduces the Julia-Wolff-Carathéodory theorem, explores its generalizations in several complex variables, and discusses recent advances related to infinitesimal generators of semigroups.
Contribution
It provides a concise overview of the theorem's extensions and recent developments in the context of complex analysis and semigroup theory.
Findings
Extended the theorem to several complex variables
Summarized recent results on infinitesimal generators
Connected classical results with modern generalizations
Abstract
This note is a short introduction to the Julia-Wolff-Carath\'eodory theorem, and its generalizations in several complex variables, up to very recent results for infinitesimal generators of semigroups.
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