Geometric Function Theory

Author : Steven George Krantz
Publisher : American Mathematical Soc.
Page : 586 pages
File Size : 40,6 Mb
Release : 2001
Category : Functions of several complex variables
ISBN : 9780821827246

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Function Theory of Several Complex Variables by Steven George Krantz Pdf

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.

Author : Steven G. Krantz
Publisher : Springer Science & Business Media
Page : 311 pages
File Size : 47,5 Mb
Release : 2007-09-19
Category : Mathematics
ISBN : 9780817644406

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Geometric Function Theory by Steven G. Krantz Pdf

* Presented from a geometric analytical viewpoint, this work addresses advanced topics in complex analysis that verge on modern areas of research * Methodically designed with individual chapters containing a rich collection of exercises, examples, and illustrations

Author : Gennadiĭ Mikhaĭlovich Goluzin
Publisher : American Mathematical Soc.
Page : 690 pages
File Size : 47,5 Mb
Release : 1969
Category : Functions of complex variables
ISBN : 082188655X

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Geometric Theory of Functions of a Complex Variable by Gennadiĭ Mikhaĭlovich Goluzin Pdf

Author : Reiner Kuhnau
Publisher : Elsevier
Page : 548 pages
File Size : 41,7 Mb
Release : 2002-12-05
Category : Mathematics
ISBN : 0080532810

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Handbook of Complex Analysis by Reiner Kuhnau Pdf

Geometric Function Theory is a central part of Complex Analysis (one complex variable). The Handbook of Complex Analysis - Geometric Function Theory deals with this field and its many ramifications and relations to other areas of mathematics and physics. The theory of conformal and quasiconformal mappings plays a central role in this Handbook, for example a priori-estimates for these mappings which arise from solving extremal problems, and constructive methods are considered. As a new field the theory of circle packings which goes back to P. Koebe is included. The Handbook should be useful for experts as well as for mathematicians working in other areas, as well as for physicists and engineers. · A collection of independent survey articles in the field of GeometricFunction Theory · Existence theorems and qualitative properties of conformal and quasiconformal mappings · A bibliography, including many hints to applications in electrostatics, heat conduction, potential flows (in the plane)

Author : Tadeusz Iwaniec,Gaven Martin
Publisher : Clarendon Press
Page : 576 pages
File Size : 52,9 Mb
Release : 2001
Category : Language Arts & Disciplines
ISBN : 0198509294

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Geometric Function Theory and Non-linear Analysis by Tadeusz Iwaniec,Gaven Martin Pdf

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.

Author : Ian Graham
Publisher : CRC Press
Page : 572 pages
File Size : 45,8 Mb
Release : 2003-03-18
Category : Mathematics
ISBN : 0203911628

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Geometric Function Theory in One and Higher Dimensions by Ian Graham Pdf

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

Author : David J. Hallenbeck,Thomas H. MacGregor
Publisher : Pitman Publishing
Page : 208 pages
File Size : 54,5 Mb
Release : 1984
Category : Geometric function theory
ISBN : UCAL:B4406628

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Linear Problems and Convexity Techniques in Geometric Function Theory by David J. Hallenbeck,Thomas H. MacGregor Pdf

Author : Sorin G. Gal
Publisher : Nova Publishers
Page : 340 pages
File Size : 47,9 Mb
Release : 2002
Category : Mathematics
ISBN : 1590333640

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Introduction to Geometric Function Theory of Hypercomplex Variables by Sorin G. Gal Pdf

Introduction to Geometric Function Theory of Hypercomplex Variables

Author : Junjirō Noguchi,Takushiro Ochiai
Publisher : American Mathematical Soc.
Page : 292 pages
File Size : 54,6 Mb
Release : 1990
Category : Mathematics
ISBN : 0821845330

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Geometric Function Theory in Several Complex Variables by Junjirō Noguchi,Takushiro Ochiai Pdf

An English translation of a book that first appeared in Japanese. It provides an account of recent developments in geometric function theory in several complex variables and presents fundamental descriptions of positive currents, plurisubharmonic functions and meromorphic mappings.

Author : Vladimir N. Dubinin
Publisher : Springer
Page : 344 pages
File Size : 52,5 Mb
Release : 2014-08-20
Category : Science
ISBN : 9783034808439

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Condenser Capacities and Symmetrization in Geometric Function Theory by Vladimir N. Dubinin Pdf

This is the first systematic presentation of the capacitory approach and symmetrization in the context of complex analysis. The content of the book is original – the main part has not been covered by existing textbooks and monographs. After an introduction to the theory of condenser capacities in the plane, the monotonicity of the capacity under various special transformations (polarization, Gonchar transformation, averaging transformations and others) is established, followed by various types of symmetrization which are one of the main objects of the book. By using symmetrization principles, some metric properties of compact sets are obtained and some extremal decomposition problems are solved. Moreover, the classical and present facts for univalent and multivalent meromorphic functions are proven. This book will be a valuable source for current and future researchers in various branches of complex analysis and potential theory.

Author : Steven G. Krantz
Publisher : Unknown
Page : 128 pages
File Size : 51,7 Mb
Release : 2005
Category : Electronic
ISBN : 3764343397

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Geometric Function Theory by Steven G. Krantz Pdf

Author : Reinhold Remmert
Publisher : Springer Science & Business Media
Page : 464 pages
File Size : 54,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461209393

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Theory of Complex Functions by Reinhold Remmert Pdf

A lively and vivid look at the material from function theory, including the residue calculus, supported by examples and practice exercises throughout. There is also ample discussion of the historical evolution of the theory, biographical sketches of important contributors, and citations - in the original language with their English translation - from their classical works. Yet the book is far from being a mere history of function theory, and even experts will find a few new or long forgotten gems here. Destined to accompany students making their way into this classical area of mathematics, the book offers quick access to the essential results for exam preparation. Teachers and interested mathematicians in finance, industry and science will profit from reading this again and again, and will refer back to it with pleasure.

Author : Lars V. Ahlfors
Publisher : American Mathematical Soc.
Page : 177 pages
File Size : 49,6 Mb
Release : 2024-06-02
Category : Electronic
ISBN : 9780821869567

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Conformal Invariants by Lars V. Ahlfors Pdf

Author : G.M. Khenkin
Publisher : Springer Science & Business Media
Page : 265 pages
File Size : 52,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642613081

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Several Complex Variables III by G.M. Khenkin Pdf

We consider the basic problems, notions and facts in the theory of entire functions of several variables, i. e. functions J(z) holomorphic in the entire n space 1 the zero set of an entire function is not discrete and therefore one has no analogue of a tool such as the canonical Weierstrass product, which is fundamental in the case n = 1. Second, for n> 1 there exist several different natural ways of exhausting the space

Author : Filippo Bracci
Publisher : Springer
Page : 182 pages
File Size : 46,5 Mb
Release : 2018-03-24
Category : Mathematics
ISBN : 9783319731261

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Geometric Function Theory in Higher Dimension by Filippo Bracci Pdf

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.