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Introduction To Holomorphy

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Introduction To Holomorphic Functions Of Several Variables Volume Ii

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Author : R.C. Gunning
language : en
Publisher: Routledge
Release Date : 2018-05-02

Introduction To Holomorphic Functions Of Several Variables Volume Ii written by R.C. Gunning and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-02 with Mathematics categories.

Introduction to Holomorphlc Functions of SeveralVariables, Volumes 1-111 provide an extensiveintroduction to the Oka-Cartan theory of holomorphicfunctions of several variables and holomorphicvarieties. Each volume covers a different aspect andcan be read independently.

Holomorphic Function Theory In Several Variables

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Author : Christine Laurent-Thiébaut
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-09-09

Holomorphic Function Theory In Several Variables written by Christine Laurent-Thiébaut 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 2010-09-09 with Mathematics categories.

This book provides an introduction to complex analysis in several variables. The viewpoint of integral representation theory together with Grauert's bumping method offers a natural extension of single variable techniques to several variables analysis and leads rapidly to important global results. Applications focus on global extension problems for CR functions, such as the Hartogs-Bochner phenomenon and removable singularities for CR functions. Three appendices on differential manifolds, sheaf theory and functional analysis make the book self-contained. Each chapter begins with a detailed abstract, clearly demonstrating the structure and relations of following chapters. New concepts are clearly defined and theorems and propositions are proved in detail. Historical notes are also provided at the end of each chapter. Clear and succinct, this book will appeal to post-graduate students, young researchers seeking an introduction to holomorphic function theory in several variables and lecturers seeking a concise book on the subject.

Introduction To Holomorphy

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Author : J.A. Barroso
language : en
Publisher: Elsevier
Release Date : 2000-04-01

Introduction To Holomorphy written by J.A. Barroso and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-04-01 with Mathematics categories.

This book presents a set of basic properties of holomorphic mappings between complex normed spaces and between complex locally convex spaces. These properties have already achieved an almost definitive form and should be known to all those interested in the study of infinite dimensional Holomorphy and its applications.The author also makes ``incursions'' into the study of the topological properties of the spaces of holomorphic mappings between spaces of infinite dimension. An attempt is then made to show some of the several topologies that can naturally be considered in these spaces.Infinite dimensional Holomorphy appears as a theory rich in fascinating problems and rich in applications to other branches of Mathematics and Mathematical Physics.

Holomorphy And Calculus In Normed Spates

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Author : S. B. Chae
language : en
Publisher: CRC Press
Release Date : 2020-11-25

Holomorphy And Calculus In Normed Spates written by S. B. Chae and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-25 with Mathematics categories.

This book presents a systematic introduction to the theory of holomorphic mappings in normed spaces which has been scattered throughout the literature. It gives the necessary, elementary background for all branches of modern mathematics involving differential calculus in higher dimensional spaces.

Introduction To Holomorphic Functions Of Several Variables Vol Iii Homological Theory

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Author : Robert C. Gunning
language : en
Publisher: Chapman and Hall/CRC
Release Date : 1990-08-02

Introduction To Holomorphic Functions Of Several Variables Vol Iii Homological Theory written by Robert C. Gunning and has been published by Chapman and Hall/CRC this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-08-02 with Juvenile Nonfiction categories.

Introduction To Holomorphic Functions Of Several Variables Volume I

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Author : R.C. Gunning
language : en
Publisher: Routledge
Release Date : 2018-05-02

Introduction To Holomorphic Functions Of Several Variables Volume I written by R.C. Gunning and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-02 with Mathematics categories.

Holomorphic Dynamics

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Author : S. Morosawa
language : en
Publisher: Cambridge University Press
Release Date : 2000-01-13

Holomorphic Dynamics written by S. Morosawa and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-01-13 with Mathematics categories.

This book, first published in 2000, is a comprehensive introduction to holomorphic dynamics, that is the dynamics induced by the iteration of various analytic maps in complex number spaces. This has been the focus of much attention in recent years, with, for example, the discovery of the Mandelbrot set, and work on chaotic behaviour of quadratic maps. The treatment is mathematically unified, emphasizing the substantial role played by classical complex analysis in understanding holomorphic dynamics as well as giving an up-to-date coverage of the modern theory. The authors cover entire functions, Kleinian groups and polynomial automorphisms of several complex variables such as complex Henon maps, as well as the case of rational functions. The book will be welcomed by graduate students and professionals in pure mathematics and science who seek a reasonably self-contained introduction to this exciting area.

Introduction To Holomorphic Functions Of Several Variables Volume Ii

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Author : R.C. Gunning
language : en
Publisher: Routledge
Release Date : 2018-05-02

From Holomorphic Functions To Complex Manifolds

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Author : Klaus Fritzsche
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-04-12

From Holomorphic Functions To Complex Manifolds written by Klaus Fritzsche 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 2002-04-12 with Mathematics categories.

This introduction to the theory of complex manifolds covers the most important branches and methods in complex analysis of several variables while completely avoiding abstract concepts involving sheaves, coherence, and higher-dimensional cohomology. Only elementary methods such as power series, holomorphic vector bundles, and one-dimensional cocycles are used. Each chapter contains a variety of examples and exercises.

Hyperbolic Manifolds And Holomorphic Mappings An Introduction Second Edition

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Author : Shoshichi Kobayashi
language : en
Publisher: World Scientific Publishing Company
Release Date : 2005-11-02

Hyperbolic Manifolds And Holomorphic Mappings An Introduction Second Edition written by Shoshichi Kobayashi and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-11-02 with Mathematics categories.

The first edition of this influential book, published in 1970, opened up a completely new field of invariant metrics and hyperbolic manifolds. The large number of papers on the topics covered by the book written since its appearance led Mathematical Reviews to create two new subsections “invariant metrics and pseudo-distances” and “hyperbolic complex manifolds” within the section “holomorphic mappings”. The invariant distance introduced in the first edition is now called the “Kobayashi distance”, and the hyperbolicity in the sense of this book is called the “Kobayashi hyperbolicity” to distinguish it from other hyperbolicities. This book continues to serve as the best introduction to hyperbolic complex analysis and geometry and is easily accessible to students since very little is assumed. The new edition adds comments on the most recent developments in the field.

Introduction To Holomorphy

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