Condenser Capacities And Symmetrization In Geometric Function Theory

Author : Vladimir N. Dubinin
Publisher : Springer
Page : 352 pages
File Size : 54,8 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 : Mark Agranovsky,Anatoly Golberg,Fiana Jacobzon,David Shoikhet,Lawrence Zalcman
Publisher : Birkhäuser
Page : 372 pages
File Size : 40,7 Mb
Release : 2018-01-31
Category : Mathematics
ISBN : 9783319701547

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Complex Analysis and Dynamical Systems by Mark Agranovsky,Anatoly Golberg,Fiana Jacobzon,David Shoikhet,Lawrence Zalcman Pdf

This book focuses on developments in complex dynamical systems and geometric function theory over the past decade, showing strong links with other areas of mathematics and the natural sciences. Traditional methods and approaches surface in physics and in the life and engineering sciences with increasing frequency – the Schramm‐Loewner evolution, Laplacian growth, and quadratic differentials are just a few typical examples. This book provides a representative overview of these processes and collects open problems in the various areas, while at the same time showing where and how each particular topic evolves. This volume is dedicated to the memory of Alexander Vasiliev.

Author : Victor I. Burenkov,Tadeusz Iwaniec,Sergeĭ Konstantinovich Vodopʹi︠a︡nov
Publisher : American Mathematical Soc.
Page : 354 pages
File Size : 50,9 Mb
Release : 2007
Category : Mathematics
ISBN : 9780821840603

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The Interaction of Analysis and Geometry by Victor I. Burenkov,Tadeusz Iwaniec,Sergeĭ Konstantinovich Vodopʹi︠a︡nov Pdf

Based on talks given at the International Conference on Analysis and Geometry in honor of the 75th birthday of Yurii Reshetnyak (Novosibirsk, 2004), this title includes topics such as geometry of spaces with bounded curvature in the sense of Alexandrov, quasiconformal mappings and mappings with bounded distortion, and nonlinear potential theory."

Author : Albert Baernstein II,David Drasin,Richard Laugesen
Publisher : Cambridge University Press
Page : 493 pages
File Size : 41,8 Mb
Release : 2019-03-14
Category : Mathematics
ISBN : 9780521830478

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Symmetrization in Analysis by Albert Baernstein II,David Drasin,Richard Laugesen Pdf

Develops the modern theory of symmetrization including applications to geometry, PDEs, and real and complex analysis.

Author : Paula Cerejeiras,Michael Reissig,Irene Sabadini,Joachim Toft
Publisher : Springer Nature
Page : 663 pages
File Size : 49,9 Mb
Release : 2022-10-03
Category : Mathematics
ISBN : 9783030875022

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Current Trends in Analysis, its Applications and Computation by Paula Cerejeiras,Michael Reissig,Irene Sabadini,Joachim Toft Pdf

This volume contains the contributions of the participants of the 12th ISAAC congress which was held at the University of Aveiro, Portugal, from July 29 to August 3, 2019. These contributions originate from the following sessions: Applications of dynamical systems theory in biology, Complex Analysis and Partial Differential Equations, Complex Geometry, Complex Variables and Potential Theory, Constructive Methods in the Theory of Composite and Porous Media, Function Spaces and Applications, Generalized Functions and Applications, Geometric & Regularity Properties of Solutions to Elliptic and Parabolic PDEs, Geometries Defined by Differential Forms, Partial Differential Equations on Curved Spacetimes, Partial Differential Equations with Nonstandard Growth, Quaternionic and Clifford Analysis, Recent Progress in Evolution Equations, Wavelet theory and its Related Topics.

Author : Uwe Kähler,Michael Reissig,Irene Sabadini,Jasson Vindas
Publisher : Springer Nature
Page : 696 pages
File Size : 46,5 Mb
Release : 2023-12-01
Category : Mathematics
ISBN : 9783031363757

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Analysis, Applications, and Computations by Uwe Kähler,Michael Reissig,Irene Sabadini,Jasson Vindas Pdf

This volume contains the contributions of the participants of the 13th International ISAAC Congress 2021, held in Ghent, Belgium. The papers, written by respected international experts, address recent results in mathematics, with a special focus on analysis. The volume provides to both specialists and non-specialists an excellent source of information on current research in mathematical analysis and its various interdisciplinary applications.

Author : Parisa Hariri,Riku Klén,Matti Vuorinen
Publisher : Springer Nature
Page : 504 pages
File Size : 47,9 Mb
Release : 2020-04-11
Category : Mathematics
ISBN : 9783030320683

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Conformally Invariant Metrics and Quasiconformal Mappings by Parisa Hariri,Riku Klén,Matti Vuorinen Pdf

This book is an introduction to the theory of quasiconformal and quasiregular mappings in the euclidean n-dimensional space, (where n is greater than 2). There are many ways to develop this theory as the literature shows. The authors' approach is based on the use of metrics, in particular conformally invariant metrics, which will have a key role throughout the whole book. The intended readership consists of mathematicians from beginning graduate students to researchers. The prerequisite requirements are modest: only some familiarity with basic ideas of real and complex analysis is expected.

Author : Sorin G. Gal
Publisher : Nova Publishers
Page : 340 pages
File Size : 50,8 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 : Anonim
Publisher : Unknown
Page : 702 pages
File Size : 52,5 Mb
Release : 1994
Category : Mathematicians
ISBN : UOM:39015027082521

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Russian Mathematical Surveys by Anonim Pdf

Author : Anonim
Publisher : Unknown
Page : 530 pages
File Size : 48,6 Mb
Release : 2003
Category : Functions of several complex variables
ISBN : 0824740548

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Geometric Function Theory in One and Higher Dimensions by Anonim Pdf

Author : Reiner Kuhnau
Publisher : Elsevier
Page : 876 pages
File Size : 54,9 Mb
Release : 2004-12-09
Category : Mathematics
ISBN : 9780080495170

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Handbook of Complex Analysis by Reiner Kuhnau Pdf

Geometric Function Theory is that part of Complex Analysis which covers the theory of conformal and quasiconformal mappings. Beginning with the classical Riemann mapping theorem, there is a lot of existence theorems for canonical conformal mappings. On the other side there is an extensive theory of qualitative properties of conformal and quasiconformal mappings, concerning mainly a prior estimates, so called distortion theorems (including the Bieberbach conjecture with the proof of the Branges). Here a starting point was the classical Scharz lemma, and then Koebe's distortion theorem. There are several connections to mathematical physics, because of the relations to potential theory (in the plane). The Handbook of Geometric Function Theory contains also an article about constructive methods and further a Bibliography including applications eg: to electroxtatic problems, heat conduction, potential flows (in the plane). · 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 : Anonim
Publisher : Unknown
Page : 566 pages
File Size : 48,5 Mb
Release : 2007
Category : Algebra
ISBN : UOM:39015072606109

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St. Petersburg Mathematical Journal by Anonim Pdf

Author : Anonim
Publisher : Unknown
Page : 261 pages
File Size : 47,8 Mb
Release : 1989
Category : Functions of several complex variables
ISBN : 7506207745

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Several Complex Variables III by Anonim Pdf

Author : D. J. Hallenbeck
Publisher : Halsted Press
Page : 192 pages
File Size : 51,9 Mb
Release : 1986-05-01
Category : Electronic
ISBN : 0470204885

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Linear Problems and Convexity Techniques in Geometric Function Theory by D. J. Hallenbeck Pdf

Author : Gennadiĭ Mikhaĭlovich Goluzin
Publisher : American Mathematical Soc.
Page : 690 pages
File Size : 52,6 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