**Contemporary Mathematics**

Volume: 553;
2011;
317 pp;
Softcover

MSC: Primary 30; 32; 49;

Print ISBN: 978-0-8218-5196-8

Product Code: CONM/553

List Price: $105.00

Individual Member Price: $84.00

**Electronic ISBN: 978-0-8218-8232-0
Product Code: CONM/553.E**

List Price: $105.00

Individual Member Price: $84.00

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# Complex Analysis and Dynamical Systems IV: Part 1. Function Theory and Optimization

Share this page *Edited by *
*Mark Agranovsky; Matania Ben-Artzi; Greg Galloway; Lavi Karp; Simeon Reich; David Shoikhet; Gilbert Weinstein; Lawrence Zalcman*

A co-publication of the AMS and Bar-Ilan University

The papers in this volume cover a wide variety of topics in the geometric theory of functions of one and several complex variables, including univalent functions, conformal and quasiconformal mappings, and dynamics in infinite-dimensional spaces. In addition, there are several articles dealing with various aspects of Lie groups, control theory, and optimization. Taken together, the articles provide the reader with a panorama of activity in complex analysis and quasiconformal mappings, drawn by a number of leading figures in the field.

The companion volume (Contemporary Mathematics, Volume 554) is devoted to general relativity, geometry, and PDE.

#### Table of Contents

# Table of Contents

## Complex Analysis and Dynamical Systems IV: Part 1. Function Theory and Optimization

- Contents v6 free
- Preface ix10 free
- Conference Program xi12 free
- List of Participants xix20 free
- The Schwarz Kernel in Clifford Analysis 124 free
- Proper Polynomial Self-maps of the Affine Space: State of the Art and New Results 1538
- The Peak-Interpolation Theorem of Bishop 2750
- Global Holomorphic Approximations of Cauchy-Riemann Functions 3154
- Two-dimensional Shapes and Lemniscates 4568
- On the Existence and Stability of Cycles in Gene Networks with Variable Feedbacks 6184
- On Fixed Points of Regular Möbius Transformations over Quaternions 7598
- Homeomorphisms with Integrally Restricted Moduli 83106
- A Conjecture on Martingales and Rotations 99122
- Optimal Control of a Dynamical Biological System: Maintenance of Balanced Growth and Development 125148
- Dynamical Systems on Sets of Holomorphic Functions 139162
- Quasiconformal Reflection Coefficient of Level Lines 155178
- Asymptotic Solution of Optimal Control Problems with a Small Parameter and Intermediate Points in Performance Index 173196
- On Conditions of ∂-closed Extension of Differential Forms 201224
- An Operator Associated with de Branges Spaces and Universality Limits 213236
- De la Vallée Poussin Means of Holomorphic Mappings of the Ball 231254
- Commutative Algebras of Monogenic Functions Associated with Classic Equations of Mathematical Physics 245268
- Convergence of Inexact Orbits of Continuous Mappings in Complete Metric Spaces 259282
- Algebraic and Analytic Properties of Quasimetric Spaces with Dilations 267290
- Harmonic Mappings and Quasihomographies in the Theory of Teichmüller Space 289312
- Two Turnpike Results for a Continuous-Time Optimal Control System 305328

#### Readership

Graduate students and research mathematicians interested in complex analysis, quasi-conformal mappings, dynamical systems, and control theory.