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KOHR Gabriela

BASIC TOPICS IN HOLOMORPHIC FUNCTIONS OF SEVERAL COMPLEX VARIABLES

In this book we give an elementary point of view of some classical topics in the theory of holomorphic functions of several complex variables. There are some phenomena which arise in higher dimensions and are of particular interest. Among them we mention the following: • The Riemann mapping theorem concerning the conformal equivalence of simply connected domains in the complex plane does not hold in higher dimensions. • A domain Q in Cn, n > 2, is not necessarily a domain of holomorphy, which means that Q need not be the maximal domain of definition for some holomorphic function.[...]

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CAPITOLE SPECIALE DE ANALIZĂ COMPLEXĂ

Analiză complexă.[...]

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