02611nam 22004095a 450 991015193530332120091109150325.03-03719-549-510.4171/049(CKB)3710000000953822(CH-001817-3)75-091109(PPN)178155373(EXLCZ)99371000000095382220091109j20080303 fy 0engurnn|mmmmamaatxtrdacontentcrdamediacrrdacarrierFirst Steps in Several Complex Variables: Reinhardt Domains[electronic resource] /Marek Jarnicki, Peter PflugZuerich, Switzerland European Mathematical Society Publishing House20081 online resource (367 pages)EMS Textbooks in Mathematics (ETB)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.First Steps in Several Complex VariablesCalculus & mathematical analysisbicsscSeveral complex variables and analytic spacesmscCalculus & mathematical analysisSeveral complex variables and analytic spaces32-xxmscJarnicki Marek726136Pflug Peterch0018173BOOK9910151935303321First Steps in Several Complex Variables: Reinhardt Domains2565750UNINA