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Titlebook: Complex Analysis and Dynamical Systems; New Trends and Open Mark Agranovsky,Anatoly Golberg,Lawrence Zalcman Book 2018 Springer Internatio

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书目名称Complex Analysis and Dynamical Systems
副标题New Trends and Open
编辑Mark Agranovsky,Anatoly Golberg,Lawrence Zalcman
视频video
概述Contains expositions of numerous open problems in such important areas as complex dynamical systems, geometric function theory and harmonic analysis.Provides relevant background and historical remarks
丛书名称Trends in Mathematics
图书封面Titlebook: Complex Analysis and Dynamical Systems; New Trends and Open  Mark Agranovsky,Anatoly Golberg,Lawrence Zalcman Book 2018 Springer Internatio
描述.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..
出版日期Book 2018
关键词semigroups; holomorphic mappings; harmonic measure; boundary slits; Loewner equation; composition operato
版次1
doihttps://doi.org/10.1007/978-3-319-70154-7
isbn_softcover978-3-319-88893-4
isbn_ebook978-3-319-70154-7Series ISSN 2297-0215 Series E-ISSN 2297-024X
issn_series 2297-0215
copyrightSpringer International Publishing AG 2018
The information of publication is updating

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Some Unsolved Problems About Condenser Capacities on the Plane,mic capacity, the relative capacity and extremal decompositions of the unit disk or the Riemann sphere. All problems are closely related to various applications in Geometric Function Theory of a complex variable.
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Regularity of Mappings with Integrally Restricted Moduli,ly extend the well-known classes of mappings such as quasiconformal, quasiisometric, Lipschitzian, etc. In the paper we survey the known results in this field regarded to the differential properties of such homeomorphisms, but mainly present a wide range of open related problems.
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,Extremal Problems for Mappings with ,-Parametric Representation on the Unit Polydisc in ℂ,,t holomorphic function on the unit disc . such that .(0) = 1, and which satisfies some natural conditions. In the first part of the paper, we obtain certain results related to extreme points and support points associated with the Carathéodory family . and the family . of .-starlike mappings on .. In
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