Complex Analysis And Dynamical Systems

by Agranovskii, M. L.; Karp, Lavi; Shoikhet, David; Zalcman, Lawrence

• ISBN13: 9780821836866
• ISBN10: 0821836862
• Format: Paperback
• Copyright: 2004-12-01
• Publisher: Amer Mathematical Society

Summary

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.

Table of Contents

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