Five Lectures in Complex Analysis

Five Lectures in Complex Analysis

by Contreras, Manuel D.

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Title Statements

  • Full title :Five Lectures in Complex Analysis

Edition Statements

  • Publication Date:2010.

Publication Statements

Notes

Description based upon print version of record.

The Physical Object

  • Description:1 online resource (177 p.)

Edition Identifiers

  • ISBN:0821848097, 9780821848098, 9780821882047, 082188204X
  • oclc:ocn990608086
  • LC Classification:QA331.7 ǂb .W56 2008eb
  • Dewey Decimal:515

Table of Contents

""Contents""; ""Preface""; ""Local holomorphic dynamics of diffeomorphisms in dimension one""; ""Prologue""; ""1. Formal Normal Forms""; ""Germs of formal diffeomorphisms""; ""Homological equation, resonances and the non-parabolic case""; ""Formal normal forms in the parabolic case""; ""Germs of vector fields and flows: the formal classification revised""; ""2. Holomorphic Dynamics""; ""The hyperbolic case""; ""The elliptic case: Cremer, Siegel diffeomorphisms and small divisors""; ""The parabolic case: the Leau-Fatou flowers theorem""

""�calle-Voronin holomorphic classification of germs tangent to the identity""""Stability versus Linearizability""; ""Diffeomorphisms of the circle""; ""Pérez-Marco's construction""; ""Naishul�s theorem""; ""Douady-Hubbard�s Straightening Theorem""; ""Yoccoz's proof of the qualitative version of the Siegel-Bruno-Yoccoz theorem""; ""Arithmetic forms of Siegel-Bruno-Yoccoz�s theorem""; ""3. Topological normal forms""; ""The hyperbolic case""; ""The parabolic case: Camacho's theorem""; ""References""; ""Nonpositive curvature and complex analysis""; ""1. Introduction""

""2. Hyperbolic Geometry""""3. Other metrics in complex analysis and potent…

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Subjects

Analyse mathématique -- Congrès Calculus Conference papers and proceedings Fonctions d'une variable complexe -- Co… Functions of complex variables Functions of complex variables -- Congr… Mathematical analysis Mathematical analysis -- Congresses mathematics Physical Sciences & Mathematics

Writers

Contreras, Manuel D. Díaz-Madrigal, Santiago

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