Points fixes d'applications holomorphes d'un domaine borne de C^n dans lui-meme

TL;DR

This paper investigates the properties of fixed point sets for holomorphic self-maps on bounded domains in complex n-space, providing foundational insights into their structure.

Contribution

It establishes key properties of fixed point sets for holomorphic self-maps on bounded domains in C^n, advancing understanding in complex analysis.

Findings

Characterization of fixed point sets

Properties of fixed points in bounded domains

Foundational results in complex dynamics

Abstract

In this paper, we prove the main properties of the set of fixed points of an holomorphic map from a bounded domain in C^n into itself.