Le phénomène d'extension de Théorème de Hartogs

Abstract

This dissertation deals with the Hartogs extension phenomenon in the theory of several complex variables. After introducing the fundamental concepts of holomorphic and analytic functions, it presents the main properties of functions of several complex variables. The study then focuses on Hartogs' theorem, which shows that certain singularities can be removed through holomorphic extension. This work highlights the importance of the Hartogs phenomenon in understanding the behavior of holomorphic functions and its applications in complex analysis