Geometric Function Theory in Higher Dimension

Geometric Function Theory in Higher Dimension PDF Author: Filippo Bracci
Publisher: Springer
ISBN: 3319731262
Category : Mathematics
Languages : en
Pages : 185

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Book Description
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 Higher Dimension

Geometric Function Theory in Higher Dimension PDF Author: Filippo Bracci
Publisher: Springer
ISBN: 3319731262
Category : Mathematics
Languages : en
Pages : 185

Get Book Here

Book Description
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 PDF Author: Ian Graham
Publisher: CRC Press
ISBN: 9780203911624
Category : Mathematics
Languages : en
Pages : 572

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Book Description
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 and Non-linear Analysis

Geometric Function Theory and Non-linear Analysis PDF Author: Tadeusz Iwaniec
Publisher: Clarendon Press
ISBN: 9780198509295
Category : Language Arts & Disciplines
Languages : en
Pages : 576

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Book Description
Iwaniec (math, Syracuse U.) and Martin (math, U. of Auckland) explain recent developments in the geometry of mappings, related to functions or deformations between subsets of the Euclidean n-space Rn and more generally between manifolds or other geometric objects. Material on mappings intersects with aspects of differential geometry, topology, partial differential equations, harmonic analysis, and the calculus of variations. Chapters cover topics such as conformal mappings, stability of the Mobius group, Sobolev theory and function spaces, the Liouville theorem, even dimensions, Picard and Montel theorems in space, uniformly quasiregular mappings, and quasiconformal groups. c. Book News Inc.

Geometric Function Theory in Several Complex Variables

Geometric Function Theory in Several Complex Variables PDF Author: Carl H. FitzGerald
Publisher: World Scientific
ISBN: 9789812702500
Category : Mathematics
Languages : en
Pages : 360

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Book Description
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.

An Introduction to the Theory of Higher-Dimensional Quasiconformal Mappings

An Introduction to the Theory of Higher-Dimensional Quasiconformal Mappings PDF Author: Frederick W. Gehring
Publisher: American Mathematical Soc.
ISBN: 0821843605
Category : Mathematics
Languages : en
Pages : 442

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Book Description
This book offers a modern, up-to-date introduction to quasiconformal mappings from an explicitly geometric perspective, emphasizing both the extensive developments in mapping theory during the past few decades and the remarkable applications of geometric function theory to other fields, including dynamical systems, Kleinian groups, geometric topology, differential geometry, and geometric group theory. It is a careful and detailed introduction to the higher-dimensional theory of quasiconformal mappings from the geometric viewpoint, based primarily on the technique of the conformal modulus of a curve family. Notably, the final chapter describes the application of quasiconformal mapping theory to Mostow's celebrated rigidity theorem in its original context with all the necessary background. This book will be suitable as a textbook for graduate students and researchers interested in beginning to work on mapping theory problems or learning the basics of the geometric approach to quasiconformal mappings. Only a basic background in multidimensional real analysis is assumed.

Introduction to Geometric Function Theory of Hypercomplex Variables

Introduction to Geometric Function Theory of Hypercomplex Variables PDF Author: Sorin G. Gal
Publisher: Nova Publishers
ISBN: 9781590333648
Category : Mathematics
Languages : en
Pages : 340

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Book Description
Introduction to Geometric Function Theory of Hypercomplex Variables

Geometric Integration Theory

Geometric Integration Theory PDF Author: Steven G. Krantz
Publisher: Springer Science & Business Media
ISBN: 0817646795
Category : Mathematics
Languages : en
Pages : 344

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Book Description
This textbook introduces geometric measure theory through the notion of currents. Currents, continuous linear functionals on spaces of differential forms, are a natural language in which to formulate types of extremal problems arising in geometry, and can be used to study generalized versions of the Plateau problem and related questions in geometric analysis. Motivating key ideas with examples and figures, this book is a comprehensive introduction ideal for both self-study and for use in the classroom. The exposition demands minimal background, is self-contained and accessible, and thus is ideal for both graduate students and researchers.

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 PDF Author: Sheng Gong
Publisher: World Scientific
ISBN: 9814481912
Category : Mathematics
Languages : en
Pages : 353

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Book Description
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.

How Surfaces Intersect in Space

How Surfaces Intersect in Space PDF Author: J. Scott Carter
Publisher: World Scientific
ISBN: 9789810220662
Category : Science
Languages : en
Pages : 344

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Book Description
This marvelous book of pictures illustrates the fundamental concepts of geometric topology in a way that is very friendly to the reader. It will be of value to anyone who wants to understand the subject by way of examples. Undergraduates, beginning graduate students, and non-professionals will profit from reading the book and from just looking at the pictures.

Complex Analysis

Complex Analysis PDF Author: Steven G. Krantz
Publisher: Cambridge University Press
ISBN: 9780883850350
Category : Mathematics
Languages : en
Pages : 252

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Book Description
Advanced textbook on central topic of pure mathematics.