FIRST STEPS IN SEVERAL COMPLEX VARIABLES

reinhardt domains

FIRST STEPS IN SEVERAL COMPLEX VARIABLES
MAREK JARNICKI; PETER PFLUG, M ...
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Last edited by MARC Bot
December 11, 2022 | History

FIRST STEPS IN SEVERAL COMPLEX VARIABLES

reinhardt domains

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.

Language
English

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Cover of: FIRST STEPS IN SEVERAL COMPLEX VARIABLES
FIRST STEPS IN SEVERAL COMPLEX VARIABLES: reinhardt domains
Publish date unknown, EUROPEAN MATHEMATICAL SOC.
in English

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Edition Notes

Published in
[Place of publication not identified]

Classifications

Dewey Decimal Class
511.3/5
Library of Congress
QA331.7

The Physical Object

Pagination
1 online resource

ID Numbers

Open Library
OL43757050M
ISBN 10
3037195495
ISBN 13
9783037195499
OCLC/WorldCat
964334388

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marc_columbia MARC record

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