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Field name	Details
Title	First Steps in Several Complex Variables: Reinhardt Domains ([EBook] /) / Marek Jarnicki, Peter Pflug
Author	Jarnicki, Marek
Added Personal Name	Pflug, Peter
Publication	Zuerich, Switzerland : : European Mathematical Society Publishing House, , 2008
Physical Details	1 online resource (367 pages)
Series	EMS Textbooks in Mathematics (ETB)
ISBN	9783037195499
Summary Note	This book provides a comprehensive introduction to the field of several complex variables in the setting of a very special but basic class of domains, the so-called Reinhardt domains. In this way the reader may learn much about this area without encountering too many technical difficulties. Chapter 1 describes the fundamental notions and the phenomenon of simultaneous holomorphic extension. Chapter 2 presents a fairly complete discussion of biholomorphisms of bounded (complete) Reinhardt domains in the two dimensional case. The third chapter gives a classification of Reinhardt domains of existence for the most important classes of holomorphic functions. The last chapter deals with invariant functions and gives explicit calculations of many of them on certain Reinhardt domains. Numerous exercises are included to help the readers with their understanding of the material. Further results and open problems are added which may be useful as seminar topics. The primary aim of this book is to introduce students or non-experts to some of the main research areas in several complex variables. The book provides a friendly invitation to this field as the only prerequisite is a basic knowledge of analysis.:
Mode of acces to digital resource	Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	https://doi.org/10.4171/049
See Also	https://www.ems-ph.org/img/books/jarnicki_mini.jpg
Links to Related Works	Subject References: Calculus & mathematical analysis . Several Complex Variables and Analytic Spaces . Authors: author . Jarnicki, Marek . Pflug, Peter . Series: EMS Textbooks in Mathematics (ETB) .

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First Steps in Several Complex Variables: Reinhardt Domains

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