FIRST STEPS IN SEVERAL COMPLEX VARIABLES: REINHARDT DOMAINS
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FIRST STEPS IN SEVERAL COMPLEX VARIABLES: REINHARDT DOMAINS
Book Details
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Publisher: Hindustan Book Agency
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Author: Marek Jarnicki
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ISBN: 9789380250298
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Pages: 357
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Binding: Paperback
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Dimensions: 9.4 x 6.3 x 0.8 inches
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Languages: English
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Release Date: 01-01-2012
About The Book
Reinhardt Domains and Several Complex Variables by Marek Jarnicki serves as a comprehensive introduction to the theory of several complex variables, specifically focusing on a special but fundamental class of domains known as Reinhardt domains. This book is ideal for students and non-experts who are interested in learning about complex variables without becoming overwhelmed by overly technical material.
The first chapter introduces the foundational concepts and the phenomenon of simultaneous holomorphic extension. The second chapter delves into biholomorphisms of bounded Reinhardt domains in two dimensions, providing a thorough discussion of these mappings. The third chapter offers a classification of Reinhardt domains where certain holomorphic functions exist. The final chapter explores invariant functions and includes explicit calculations on Reinhardt domains.
The book is filled with exercises to aid readers in grasping the material and encourages further research with additional results and open problems. Its accessible approach, combined with a solid theoretical foundation, makes this an excellent resource for those wishing to enter the field of several complex variables.
