Invariant Distances And Metrics In Complex Analysis Revisited

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Invariant Distances And Metrics In Complex Analysis

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Author : Marek Jarnicki
language : en
Publisher: Walter de Gruyter
Release Date : 2013-06-26

Invariant Distances And Metrics In Complex Analysis written by Marek Jarnicki and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-26 with Mathematics categories.

As in the field of "Invariant Distances and Metrics in Complex Analysis" there was and is a continuous progress this is now the second extended edition of the corresponding monograph. This comprehensive book is about the study of invariant pseudodistances (non-negative functions on pairs of points) and pseudometrics (non-negative functions on the tangent bundle) in several complex variables. It is an overview over a highly active research area at the borderline between complex analysis, functional analysis and differential geometry. New chapters are covering the Wu, Bergman and several other metrics. The book considers only domains in Cn and assumes a basic knowledge of several complex variables. It is a valuable reference work for the expert but is also accessible to readers who are knowledgeable about several complex variables. Each chapter starts with a brief summary of its contents and continues with a short introduction. It ends with an "Exercises" and a "List of problems" section that gathers all the problems from the chapter. The authors have been highly successful in giving a rigorous but readable account of the main lines of development in this area.

Invariant Distances And Metrics In Complex Analysis Revisited

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Author : Marek Jarnicki
language : en
Publisher:
Release Date : 2005

Invariant Distances And Metrics In Complex Analysis Revisited written by Marek Jarnicki and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Functions of complex variables categories.

Complex Analysis And Geometry

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Author : Filippo Bracci
language : en
Publisher: Springer
Release Date : 2015-08-05

Complex Analysis And Geometry written by Filippo Bracci and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-05 with Mathematics categories.

This volume includes 28 chapters by authors who are leading researchers of the world describing many of the up-to-date aspects in the field of several complex variables (SCV). These contributions are based upon their presentations at the 10th Korean Conference on Several Complex Variables (KSCV10), held as a satellite conference to the International Congress of Mathematicians (ICM) 2014 in Seoul, Korea. SCV has been the term for multidimensional complex analysis, one of the central research areas in mathematics. Studies over time have revealed a variety of rich, intriguing, new knowledge in complex analysis and geometry of analytic spaces and holomorphic functions which were "hidden" in the case of complex dimension one. These new theories have significant intersections with algebraic geometry, differential geometry, partial differential equations, dynamics, functional analysis and operator theory, and sheaves and cohomology, as well as the traditional analysis of holomorphic functions in all dimensions. This book is suitable for a broad audience of mathematicians at and above the beginning graduate-student level. Many chapters pose open-ended problems for further research, and one in particular is devoted to problems for future investigations.

First Steps In Several Complex Variables

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Author : Marek Jarnicki
language : en
Publisher: European Mathematical Society
Release Date : 2008

First Steps In Several Complex Variables written by Marek Jarnicki and has been published by European Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.

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.

Annales Polonici Mathematici

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Author :
language : en
Publisher:
Release Date : 2007

Annales Polonici Mathematici written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.

Dissertationes Mathematicae

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Author :
language : en
Publisher:
Release Date : 2005

Dissertationes Mathematicae written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.

Honam Mathematical Journal

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Author :
language : en
Publisher:
Release Date : 2006

Honam Mathematical Journal written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.

Acta Arithmetica

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Author :
language : en
Publisher:
Release Date : 2005

Acta Arithmetica written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.

Reconstruction Of Manifolds And Subsets Of Normed Spaces From Subgroups Of Their Homeomorphism Groups

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Author : Matatyahu Rubin
language : en
Publisher:
Release Date : 2005

Reconstruction Of Manifolds And Subsets Of Normed Spaces From Subgroups Of Their Homeomorphism Groups written by Matatyahu Rubin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Group theory categories.

Mathematica Scandinavica

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Author :
language : en
Publisher:
Release Date : 2008

Mathematica Scandinavica written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Electronic journals categories.