Elementary properties of functions of several complex variables -- Analytic continuation: elementary theory -- Subharmonic functions and Hartogs' theorem -- Hartogs' theorem on the singularities of holomorphic functions -- Automorphisms of bounded domains -- Analytic continuation: envelopes of holomorphy -- Domains of holomorphy: convexity theory -- Domains of holomorphy: Oka's theorem -- Automorphisms of bounded domains: Cartan's theorem.
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SUMMARY OR ABSTRACT
Text of Note
Drawn from lectures given by Raghavan Narasimhan at the University of Geneva and the University of Chicago, this book presents the part of the theory of several complex variables pertaining to unramified domains over C . Topics discussed are Hartogs' theory, domains in holomorphy, and automorphism of bounded domains.