Complex Analysis And Dynamical Systems

This book contains contributions from the participants of an International Conference on Complex Analysis and Dynamical Systems. The papers collected here are devoted to various topics in complex analysis and dynamical systems, ranging from properties of holomorphic mappings to attractors in hyperbolic spaces. Overall, these selections provide an overview of activity in analysis at the outset of the twenty-first century. The book is suitable for graduate students and researchers in complex analysis and related problems of dynamics. With this volume, the Israel Mathematical Conference Proceedings are now published as a subseries of the AMS Contemporary Mathematics series.

Preface

vii

Program

ix

List of Participants

xiii

Remarks on the ``Asymptotic Maximum Principle''

1

(4)

Lev Aizenberg

Some coefficient estimates for Hp functions

5

(10)

Catherine Beneteau

Boris Korenblum

A statistical model of Riemann surfaces

15

(12)

Robert Brooks

Holomorphic retracts in domains with the locally uniformly linearly convex Kobayashi distance

27

(8)

Monika Budzynska

Common fixed points of holomorphic mappings and retracts of B∞H

35

(6)

Monika Budzynska

Tadeusz Kuczumow

Dynamics of spirallike functions

41

(18)

Mark Elin

Alexander Goldvard

Simeon Reich

David Shoikhet

Invertibility preserving linear maps of Banach algebras

59

(8)

Lawrence A. Harris

The dynamical zeta function and transfer operators for the Kac-Baker model

67

(26)

J. Hilgert

D. Mayer

On operator matrices generating linear fractional maps of operator balls

93

(10)

V.A. Khatskevich

V.A. Senderov

V.S. Shulman

Long-time asymptotics with geometric singularities in the spatial variables

103

(24)

T. Krainer

B.-W. Schulze

Grunsky inequalities of higher rank with applications to complex geometry and function theory

127

(28)

Samuel L. Krushkal

Asymptotic behaviour of the conformal representation of a Jordan domain with a small hole, and relative capacity

155

(14)

Massimo Lanza De Cristoforis

Singular continuous spectrum for certain quasicrystal Schrodinger operators

169

(12)

Daniel Lenz

Measures orthogonal to the gradients of harmonic functions

181

(12)

E. Malinnikova

Q-homeomorphisms

193

(12)

O. Martio

V. Ryazanov

U. Srebro

E. Yakubov

Dynamic methods in the general theory of Cauchy type functional equations

205

(20)

Boris Paneah

Exponential estimates for eigenfunctions of Schrodinger operators with rapidly increasing and discontinuous potentials

225

(12)

V. S. Rabinovich

A porosity result for attracting mappings in hyperbolic spaces

237

(6)

Simeon Reich

Alexander J. Zaslavski

Some properties of the quaternionic Cauchy-type integral for a piece-wise Liapunov surface of integration

243

Baruch Schneider

Michael Shapiro

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Complex Analysis And Dynamical Systems

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Table of Contents

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