[PDF] Geometric Function Theory In One And Higher Dimensions eBook

Author : Ian Graham
Publisher : CRC Press
Page : 572 pages
File Size : 31,4 MB
Release : 2003-03-18
Category : Mathematics
ISBN : 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

Author : Filippo Bracci
Publisher : Springer
Page : 185 pages
File Size : 24,39 MB
Release : 2018-03-24
Category : Mathematics
ISBN : 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.

Author : Steven George Krantz
Publisher : American Mathematical Soc.
Page : 586 pages
File Size : 48,97 MB
Release : 2001
Category : Mathematics
ISBN : 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.

Author : Tadeusz Iwaniec
Publisher : Clarendon Press
Page : 576 pages
File Size : 50,8 MB
Release : 2001
Category : Language Arts & Disciplines
ISBN : 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.

Author : Sheng Gong
Publisher : World Scientific
Page : 353 pages
File Size : 45,87 MB
Release : 2004-09-23
Category : Mathematics
ISBN : 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.

Author : Carl Hanson FitzGerald
Publisher : World Scientific
Page : 353 pages
File Size : 23,62 MB
Release : 2004
Category : Mathematics
ISBN : 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.

Author : Sorin G. Gal
Publisher : Nova Publishers
Page : 340 pages
File Size : 50,98 MB
Release : 2002
Category : Mathematics
ISBN : 9781590333648

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Introduction to Geometric Function Theory of Hypercomplex Variables

Author : Steven G. Krantz
Publisher : Springer Science & Business Media
Page : 344 pages
File Size : 26,2 MB
Release : 2008-12-15
Category : Mathematics
ISBN : 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.

Author : Alexander Vasil'ev
Publisher : Springer Science & Business Media
Page : 364 pages
File Size : 28,96 MB
Release : 2013-11-09
Category : Mathematics
ISBN : 331901806X

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This volume highlights the main results of the research performed within the network “Harmonic and Complex Analysis and its Applications” (HCAA), which was a five-year (2007–2012) European Science Foundation Programme intended to explore and to strengthen the bridge between two scientific communities: analysts with broad backgrounds in complex and harmonic analysis and mathematical physics, and specialists in physics and applied sciences. It coordinated actions for advancing harmonic and complex analysis and for expanding its application to challenging scientific problems. Particular topics considered by this Programme included conformal and quasiconformal mappings, potential theory, Banach spaces of analytic functions and their applications to the problems of fluid mechanics, conformal field theory, Hamiltonian and Lagrangian mechanics, and signal processing. This book is a collection of surveys written as a result of activities of the Programme and will be interesting and useful for professionals and novices in analysis and mathematical physics, as well as for graduate students. Browsing the volume, the reader will undoubtedly notice that, as the scope of the Programme is rather broad, there are many interrelations between the various contributions, which can be regarded as different facets of a common theme.