A survey of plurisubharmonic functions

Official URL: http://risc01.sabanciuniv.edu/record=b1606645 (Table of Contents)

Plurisubharmonic functions have been introduced by Lelong and Oka in 1942, play a major role in the theory of several complex variables. The richness of their properties and, most importantly, their close connection with holomorphic functions have assured these functions a indelible place in several variables. In this thesis, we present a survey of plurisubharmonic functions as one of the generalization of subharmonic functions. Thereby, in the first part of this study, after giving a short brief of topological notions, we recall the main de nitions and theorems of subharmonic functions in one dimensional case. In the rest parts, we focus on multidimensional case and we aim to give the main principles of the theory of plurisubharmonic functions.