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First Steps in Several Complex Varia...

Jarnicki, Marek,

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First Steps in Several Complex Variables: Reinhardt Domains

Record Type:	Electronic resources : Monograph/item
Title/Author:	First Steps in Several Complex Variables: Reinhardt Domains/ Marek Jarnicki, Peter Pflug
Author:	Jarnicki, Marek,
other author:	Pflug, Peter,
Published:	Zuerich, Switzerland :European Mathematical Society Publishing House, : 2008,
Description:	1 online resource (367 pages)
Subject:	Calculus & mathematical analysis -
Online resource:	https://doi.org/10.4171/049
Online resource:	https://www.ems-ph.org/img/books/jarnicki_mini.jpg
ISBN:	9783037195499

First Steps in Several Complex Variables: Reinhardt Domains
Jarnicki, Marek,

First Steps in Several Complex Variables: Reinhardt Domains[electronic resource] /Marek Jarnicki, Peter Pflug - Zuerich, Switzerland :European Mathematical Society Publishing House,2008 - 1 online resource (367 pages) - EMS Textbooks in Mathematics (ETB).

Restricted to subscribers:https://www.ems-ph.org/ebooks.php

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.

ISBN: 9783037195499

Standard No.: 10.4171/049doiSubjects--Topical Terms:

3480907
Calculus & mathematical analysis

First Steps in Several Complex Variables: Reinhardt Domains
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