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＜E-Book＞
Introduction to Complex Analysis in Several Variables / by Volker Scheidemann

Edition	1st ed. 2005.
Publisher	(Basel : Birkhäuser Basel : Imprint: Birkhäuser)
Year	2005
Language	English
Size	VIII, 171 p : online resource
Authors	*Scheidemann, Volker author SpringerLink (Online service)
Subjects	LCSH:Functions of complex variables FREE:Functions of a Complex Variable
Notes	Elementary theory of several complex variables -- Continuation on circular and polycircular domains -- Biholomorphic maps -- Analytic Sets -- Hartogs’ Kugelsatz -- Continuation on Tubular Domains -- Cartan-Thullen Theory -- Local Properties of holomorphic functions This book gives a comprehensive introduction to complex analysis in several variables. It clearly focusses on special topics in complex analysis rather than trying to encompass as much material as possible. Many cross-references to other parts of mathematics, such as functional analysis or algebras, are pointed out in order to broaden the view and the understanding of the chosen topics. A major focus is extension phenomena alien to the one-dimensional theory, which are expressed in the famous Hartog's Kugelsatz, the theorem of Cartan-Thullen, and Bochner's theorem. The book primarily aims at students starting to work in the field of complex analysis in several variables and teachers who want to prepare a course. To that end, a lot of examples and supporting exercises are inserted throughout the text, which will help students to become acquainted with the subject HTTP:URL=https://doi.org/10.1007/3-7643-7491-8

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