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200 10$aFirst Steps in Several Complex Variables: Reinhardt Domains$b[electronic resource] /$fMarek Jarnicki, Peter Pflug
210 3 $aZuerich, Switzerland $cEuropean Mathematical Society Publishing House$d2008
215   $a1 online resource (367 pages)
225 0 $aEMS Textbooks in Mathematics (ETB)
330   $aThis 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.
517   $aFirst Steps in Several Complex Variables
606   $aCalculus & mathematical analysis$2bicssc
606   $aSeveral complex variables and analytic spaces$2msc
615 07$aCalculus & mathematical analysis
615 07$aSeveral complex variables and analytic spaces
686   $a32-xx$2msc
700   $aJarnicki$b Marek$0726136
702   $aPflug$b Peter
801  0$bch0018173
906   $aBOOK
912   $a9910151935303321
996   $aFirst Steps in Several Complex Variables: Reinhardt Domains$92565750
997   $aUNINA