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Function Theory In The Unit Ball Of Cn


Function Theory In The Unit Ball Of Cn
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Function Theory In The Unit Ball Of Cn


Function Theory In The Unit Ball Of Cn
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Author : W. Rudin
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Function Theory In The Unit Ball Of Cn written by W. Rudin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


Around 1970, an abrupt change occurred in the study of holomorphic functions of several complex variables. Sheaves vanished into the back ground, and attention was focused on integral formulas and on the "hard analysis" problems that could be attacked with them: boundary behavior, complex-tangential phenomena, solutions of the J-problem with control over growth and smoothness, quantitative theorems about zero-varieties, and so on. The present book describes some of these developments in the simple setting of the unit ball of en. There are several reasons for choosing the ball for our principal stage. The ball is the prototype of two important classes of regions that have been studied in depth, namely the strictly pseudoconvex domains and the bounded symmetric ones. The presence of the second structure (i.e., the existence of a transitive group of automorphisms) makes it possible to develop the basic machinery with a minimum of fuss and bother. The principal ideas can be presented quite concretely and explicitly in the ball, and one can quickly arrive at specific theorems of obvious interest. Once one has seen these in this simple context, it should be much easier to learn the more complicated machinery (developed largely by Henkin and his co-workers) that extends them to arbitrary strictly pseudoconvex domains. In some parts of the book (for instance, in Chapters 14-16) it would, however, have been unnatural to confine our attention exclusively to the ball, and no significant simplifications would have resulted from such a restriction.



Function Theory In The Unit Ball Of Cn


Function Theory In The Unit Ball Of Cn
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Author :
language : en
Publisher:
Release Date : 1980

Function Theory In The Unit Ball Of Cn written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Holomorphic functions categories.




Two Problems In The Function Theory Of The Unit Ball Of Cn


Two Problems In The Function Theory Of The Unit Ball Of Cn
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Author : Muddappa Seetharama Gowda
language : en
Publisher:
Release Date : 1982

Two Problems In The Function Theory Of The Unit Ball Of Cn written by Muddappa Seetharama Gowda and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with categories.




Spaces Of Holomorphic Functions In The Unit Ball


Spaces Of Holomorphic Functions In The Unit Ball
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Author : Kehe Zhu
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-03-22

Spaces Of Holomorphic Functions In The Unit Ball written by Kehe Zhu and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-03-22 with Mathematics categories.


Can be used as a graduate text Contains many exercises Contains new results



Geometric Function Theory In Several Complex Variables


Geometric Function Theory In Several Complex Variables
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Author : Carl H. FitzGerald
language : en
Publisher: World Scientific
Release Date : 2004

Geometric Function Theory In Several Complex Variables written by Carl H. FitzGerald and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.


The papers contained in this book address problems in one and several complex variables. The main theme is the extension of geometric function theory methods and theorems to several complex variables. The papers present various results on the growth of mappings in various classes as well as observations about the boundary behavior of mappings, via developing and using some semi group methods.



Function Theory


Function Theory
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Author : Eric T. Sawyer
language : en
Publisher: American Mathematical Soc.
Release Date :

Function Theory written by Eric T. Sawyer and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.




Geometric Function Theory In Higher Dimension


Geometric Function Theory In Higher Dimension
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Author : Filippo Bracci
language : en
Publisher: Springer
Release Date : 2018-03-24

Geometric Function Theory In Higher Dimension 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 2018-03-24 with Mathematics categories.


The book collects the most relevant outcomes from the INdAM Workshop “Geometric Function Theory in Higher Dimension” held in Cortona on September 5-9, 2016. The Workshop was mainly devoted to discussions of basic open problems in the area, and this volume follows the same line. In particular, it offers a selection of original contributions on Loewner theory in one and higher dimensions, semigroups theory, iteration theory and related topics. Written by experts in geometric function theory in one and several complex variables, it focuses on new research frontiers in this area and on challenging open problems. The book is intended for graduate students and researchers working in complex analysis, several complex variables and geometric function theory.



Geometric Function Theory In One And Higher Dimensions


Geometric Function Theory In One And Higher Dimensions
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Author : Ian Graham
language : en
Publisher: CRC Press
Release Date : 2003-03-18

Geometric Function Theory In One And Higher Dimensions written by Ian Graham and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-03-18 with Mathematics categories.


This reference details valuable results that lead to improvements in existence theorems for the Loewner differential equation in higher dimensions, discusses the compactness of the analog of the Caratheodory class in several variables, and studies various classes of univalent mappings according to their geometrical definitions. It introduces the in



Geometric Function Theory In Several Complex Variables Proceedings Of A Satellite Conference To The Int L Congress Of Mathematicians In Beijing 2002


Geometric Function Theory In Several Complex Variables Proceedings Of A Satellite Conference To The Int L Congress Of Mathematicians In Beijing 2002
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Author : Sheng Gong
language : en
Publisher: World Scientific
Release Date : 2004-09-23

Geometric Function Theory In Several Complex Variables Proceedings Of A Satellite Conference To The Int L Congress Of Mathematicians In Beijing 2002 written by Sheng Gong and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-09-23 with Mathematics categories.


The papers contained in this book address problems in one and several complex variables. The main theme is the extension of geometric function theory methods and theorems to several complex variables. The papers present various results on the growth of mappings in various classes as well as observations about the boundary behavior of mappings, via developing and using some semi group methods.



Complex Analysis And Potential Theory


Complex Analysis And Potential Theory
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Author : Andre Boivin
language : en
Publisher: American Mathematical Soc.
Release Date : 2012

Complex Analysis And Potential Theory written by Andre Boivin and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.


This is the proceedings volume of an international conference entitled Complex Analysis and Potential Theory, which was held to honor the important contributions of two influential analysts, Kohur N. GowriSankaran and Paul M. Gauthier, in June 2011 at the Centre de Recherches Mathematiques (CRM) in Montreal. More than fifty mathematicians from fifteen countries participated in the conference. The twenty-four surveys and research articles contained in this book are based on the lectures given by some of the most established specialists in the fields. They reflect the wide breadth of research interests of the two honorees: from potential theory on trees to approximation on Riemann surfaces, from universality to inner and outer functions and the disc algebra, from branching processes to harmonic extension and capacities, from harmonic mappings and the Harnack principle to integration formulae in $\mathbb {C}^n$ and the Hartogs phenomenon, from fine harmonicity and plurisubharmonic functions to the binomial identity and the Riemann hypothesis, and more. This volume will be a valuable resource for specialists, young researchers, and graduate students from both fields, complex analysis and potential theory. It will foster further cooperation and the exchange of ideas and techniques to find new research perspectives.