Geometric Function Theory in One and Higher Dimensions
Geometric Function Theory in One and Higher Dimensions

Author: Ian Graham

Publisher: CRC Press

Published: 2003-03-18

Total Pages: 572

ISBN-13: 9780203911624

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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 Higher Dimension
Geometric Function Theory in Higher Dimension

Author: Filippo Bracci

Publisher: Springer

Published: 2018-03-24

Total Pages: 185

ISBN-13: 3319731262

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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 and Non-linear Analysis
Geometric Function Theory and Non-linear Analysis

Author: Tadeusz Iwaniec

Publisher: Clarendon Press

Published: 2001

Total Pages: 576

ISBN-13: 9780198509295

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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, 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

Author: Sheng Gong

Publisher: World Scientific

Published: 2004-09-23

Total Pages: 353

ISBN-13: 9814481912

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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.

Geometric Integration Theory
Geometric Integration Theory

Author: Steven G. Krantz

Publisher: Springer Science & Business Media

Published: 2008-12-15

Total Pages: 344

ISBN-13: 0817646795

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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.

Fractal Geometry, Complex Dimensions and Zeta Functions
Fractal Geometry, Complex Dimensions and Zeta Functions

Author: Michel L. Lapidus

Publisher: Springer Science & Business Media

Published: 2012-09-20

Total Pages: 583

ISBN-13: 1461421764

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Number theory, spectral geometry, and fractal geometry are interlinked in this in-depth study of the vibrations of fractal strings, that is, one-dimensional drums with fractal boundary. Throughout Geometry, Complex Dimensions and Zeta Functions, Second Edition, new results are examined and a new definition of fractality as the presence of nonreal complex dimensions with positive real parts is presented. The new final chapter discusses several new topics and results obtained since the publication of the first edition.

Geometric Function Theory in Several Complex Variables
Geometric Function Theory in Several Complex Variables

Author: Carl Hanson FitzGerald

Publisher: World Scientific

Published: 2004

Total Pages: 353

ISBN-13: 9812560238

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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 of Several Complex Variables
Function Theory of Several Complex Variables

Author: Steven George Krantz

Publisher: American Mathematical Soc.

Published: 2001

Total Pages: 586

ISBN-13: 0821827243

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Emphasizing integral formulas, the geometric theory of pseudoconvexity, estimates, partial differential equations, approximation theory, inner functions, invariant metrics, and mapping theory, this title is intended for the student with a background in real and complex variable theory, harmonic analysis, and differential equations.

How Surfaces Intersect in Space
How Surfaces Intersect in Space

Author: J. Scott Carter

Publisher: World Scientific

Published: 1995

Total Pages: 344

ISBN-13: 9789810220662

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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.