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Quasiconformal Surgery in Holomorphic Dynamics

Since its introduction in the early 1980s quasiconformal surgery has become a major tool in the development of the theory of holomorphic;

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Quasiconformal Maps and Teichmuller Theory

of quasiconformal maps, the Beltrami differential equation, holomorphic motions and Teichmuller spaces. Where proofs are omitted, references to where they;

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Lectures on Quasiconformal Mappings

Lars Ahlfors' Lectures on Quasiconformal Mappings, based on a course he gave at Harvard University in the spring term of 1964, was first;

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Holomorphic Foliations with Singularities

This concise textbook gathers together key concepts and modern results on the theory of holomorphic foliations with singularities, offering;

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Cambridge Studies in Advanced Mathematics

This book, first published in 2000, is a comprehensive introduction to holomorphic dynamics, that is the dynamics induced by the iteration;

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Rigid Germs, the Valuative Tree, and Applications to Kato Varieties

This thesis deals with specific features of the theory of holomorphic dynamics in dimension 2 and then sets out to study analogous;

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Harmonic Quasiconformal Mappings and Hyperbolic Type Metrics

The book presents a research area in geometric function theory concerned with harmonic quasiconformal mappings and hyperbolic type metrics;

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Complex Dynamics and Renormalization (AM-135), Volume 135

theory, quasiconformal mappings, and hyperbolic geometry. Most of the tools are discussed in the setting of general polynomials and rational maps.;

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Pluripotential Theory

of pluripotential theory to Kahler geometry and algebraic geometry and to holomorphic dynamics. The contributions provide an extensive description of the;

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Conformally Invariant Metrics and Quasiconformal Mappings

This book is an introduction to the theory of quasiconformal and quasiregular mappings in the euclidean n-dimensional space, (where n;

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Handbook of Complex Analysis

Geometric Function Theory is that part of Complex Analysis which covers the theory of conformal and quasiconformal mappings.

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Complex Algebraic Foliations

This book is a basic reference in the modern theory of holomorphic foliations, presenting the interplay between various aspects of the;

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Potential Theory on Sierpinski Carpets

is intended for researchers in the fields of potential theory, quasiconformal geometry, geometric group theory, complex dynamics, geometric function;

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Symplectic Topology & Floer Homology 2 V

of Hamiltonian dynamics and symplectic geometry and the analytic foundations of Gromov's pseudo-holomorphic curve theory. One novel aspect of this;

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Interfacial Dynamics in Fluid Flows

: conformal mapping methods and variational methods - the former provides a strong connection between holomorphic functions and incompressible and;

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Elliptic Partial Differential Equations and Quasiconformal Mappings in the Plane (PMS-48)

This book explores the most recent developments in the theory of planar quasiconformal mappings with a particular focus on the interactions;

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Mathematical Tools for One-Dimensional Dynamics

-Royden theorem on holomorphic motions, appear for the very first time in book format. An appendix considers Riemann surfaces and Teichmuller;

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The Equidistribution Theory of Holomorphic Curves. (AM-64), Volume 64

This work is a fresh presentation of the Ahlfors-Weyl theory of holomorphic curves that takes into account some recent developments;

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Extension of Holomorphic Functions

This second extended edition of the classic reference on the extension problem of holomorphic functions in pluricomplex analysis contains a;

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Quasiconformal Mappings and Analysis

In August 1995 an international symposium on Quasiconformal Mappings and Analysis was held in Ann Arbor on the occasion of Professor Fred;

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Quasiconformal Mappings and Analysis

In August 1995 an international symposium on Quasiconformal Mappings and Analysis was held in Ann Arbor on the occasion of Professor Fred;

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Toric Varieties in Several Complex Variables

The present book deals with integral representations for holomorphic functions of several complex variables and holomorphic extensions;

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Handbook of Complex Analysis

and quasiconformal mappings plays a central role in this Handbook, for example a priori-estimates for these mappings which arise from solving;

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Complex Analysis and Geometry

knowledge in complex analysis and geometry of analytic spaces and holomorphic functions which were hidden in the case of complex dimension one;

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Complex Potential Theory

of holomorphic isometries, Pick interpolation on uniform algebras and von Neumann inequalities for operators on a Hilbert space.;

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Complex Analysis

of holomorphic functions, the Bergman kernel, and unbounded operators on Hilbert spaces to tackle the theory of several variables, in particular the;

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Spaces of Holomorphic Functions in the Unit Ball

Can be used as a graduate text Contains many exercises Contains new results;...

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