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Complex Manifolds and Deformation of Complex Structures
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Kunihiko Kodaira
From the reviews:"The author, [...], has written a book which will be of service to all who are interested in this by now vast subject. [...] This is a book of many virtues: mathematical, historical, and pedagogical. Parts of it could be used for a graduate complex manifolds course.J.A. Carlson in Mathematical Reviews, 1987"There are many ...
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Uniform Convexity, Hyperbolic Geometry, and Nonexpansive Mappings
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Kazimierz Goebel, S Reich
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Entire Holomorphic Mappings in One and Several Complex Variables
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Phillip Griffiths
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Dynamics in One Complex Variable
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John Milnor
This volume studies the dynamics of iterated holomorphic mappings from a Riemann surface to itself, concentrating on the classical case of rational maps of the Riemann sphere. This subject is large and rapidly growing. These lectures are intended to introduce some key ideas in the field, and to form a basis for further study. The reader is assumed ...
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Holomorphy and Calculus in Normed Spates
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Soo Bong Chae
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Differentiable Operators and Nonlinear Equations
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Victor Khatskevich, David Shoiykhet
The need to study holomorphic mappings in infinite dimensional spaces, in all likelihood, arose for the first time in connection with the development of nonlinear analysis. A systematic study of integral equations with an analytic nonlinear part was started at the end of the 19th and the beginning of the 20th centuries by A. Liapunov, E. Schmidt, ...
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Real Submanifolds in Complex Space and Their Mappings (PMS-47)
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M Salah Baouendi, Peter Ebenfelt, Linda Preiss Rothschild
This book presents many of the main developments of the past two decades in the study of real submanifolds in complex space, providing crucial background material for researchers and advanced graduate students. The techniques in this area borrow from real and complex analysis and partial differential equations, as well as from differential, ...
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Holomorphic Dynamics
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S Morosawa, Y Nishimura, M Taniguchi
This is a comprehensive introduction to holomorphic dynamics, that is the dynamics induced by the iteration of various analytic maps in complex number spaces. This has been the focus of much attention in recent years, with, for example, the discovery of the Mandelbrot set, and work on chaotic behaviour of quadratic maps. The treatment is ...
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Complex Dynamics: Families and Friends
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by
Dierk Schleicher
This collection, with 17 carefully selected contributions on the field of complex dynamics and adjacent fields, helps people get an overview of the active field of complex dynamics in its current scope. There are chapters that contain an introduction to complex dynamics that help introduce novices to the field, especially graduate students; some ...
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Higher Multiplicities and Almost Free Divisors and Complete Intersections
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James Damon
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Dynamics in Several Complex Variables
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John Erik Fornss
This CBMS lecture series, held in Albany, New York in June 1994, aimed to introduce the audience to the literature on complex dynamics in higher dimension. Some of the lectures are updated versions of earlier lectures given jointly with Nessim Sibony in Montreal 1993. The author's intent in this book is to give an expansion of the Montreal ...
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Convex and Starlike Mappings in Several Complex Variables
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Sheng Gong, Sheng Kung
This book deals with the theory of convex and starlike biholomorphic mappings in several complex variables. The underlying theme is the extension to several complex variables of geometric aspects of the classical theory of univalent functions. The book gathers together, and presents in a unified manner, the current state of affairs for convex and ...
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Holomorphic Maps and Invariant Distances
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Tullio Franzoni
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Algebraic Structures of Symmetric Domains
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Ichiro Satake
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Proceedings on Infinite Dimensional Holomorphy, University of Kentucky 1973,
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Thomas Lee Hayden
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Geometry Seminar "Luigi Bianchi" II - 1984
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Mauro Meschiari, John H Rawnsley, Simon Salamon
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Proceedings on Infinite Dimensional Holomorphy
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T L Hayden (Editor), T J Suffridge (Editor)
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Algebras of Holomorphic Functions and Control Theory
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Amol Sasane
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Konvexität in der komplexen Analysis : neue Ergebnisse und Methoden
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Klas Diederich, Ingo Lieb
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