A survey of plurisubharmonic functions

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Çelik, Çiğdem (2015) A survey of plurisubharmonic functions. [Thesis]

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Abstract

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.
Item Type: Thesis
Uncontrolled Keywords: Subharmonic function. -- Dirichlet problem. -- Plurisubharmonic function. -- Gluing lemma. -- Fusion lemma. -- Maximal plurisubharmonic function. -- Zaharyuta-Siciak extremal function. -- Pluricomplex green function. -- Altharmonik fonksiyon. Dirichlet problemi. -- Çoklualtharmonik fonksiyon. -- Gluing lemma. -- Fusion lemma. -- Maksimal çoklu-altharmonik fonksiyon. -- Green fonksiyonu.
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics
Faculty of Engineering and Natural Sciences
Depositing User: IC-Cataloging
Date Deposited: 12 Jun 2017 15:16
Last Modified: 26 Apr 2022 10:10
URI: https://research.sabanciuniv.edu/id/eprint/32334

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