Complex Analysis and Dynamical Systems V
Share this pageEdited by Mark L. Agranovsky; Matania Ben-Artzi; Greg Galloway; Lavi Karp; Vladimir Maz’ya; Simeon Reich; David Shoikhet; Gilbert Weinstein; Lawrence Zalcman
A co-publication of the AMS and Bar-Ilan University
This volume contains the proceedings of the Fifth International
Conference on Complex Analysis and Dynamical Systems, held from May
22–27, 2011, in Akko (Acre), Israel.
The papers cover a wide variety of topics in complex analysis and
partial differential equations, including meromorphic functions,
one-parameter semigroups, subordination chains, quasilinear hyperbolic
systems, and the Euler-Poisson-Darboux equation. In addition, there
are several articles dealing with various aspects of fixed point
theory, hyperbolic geometry, and optimal control.
Readership
Graduate students and research mathematicians interested in complex analysis.
Table of Contents
Complex Analysis and Dynamical Systems V
- Preface vii8 free
- Conference Program ix10 free
- Duality and the Class of Holomorphic Functions Representable by Carleman’s Formula 120 free
- 1. Introduction 120
- 2. Computing (𝐸^{𝑝}(Ω))′ for 𝑝≥1 221
- 3. Duality for holomorphic functions represented by Carleman’s formulas in 𝒰⊂ℂ 726
- 4. Smirnov spaces 𝐸^{𝑝}(Ω) for open neighborhoods of infinity 1130
- 5. The duality of Smirnov spaces 𝐸^{𝑝}(𝒟₁×𝒟₂) over the product of Smirnov domains 1534
- References 2342
- Quasilinear Symmetric Hyperbolic Fuchsian Systems in Several Space Dimensions 2544
- Revisiting a General Property of Meromorphic Functions 4564
- Reconstruction of Planar Domains from Partial Integral Measurements 5170
- An Introduction to One-Parameter Semigroups in Non-Strictly Convex Domains: The Case of Cartan Factors of Type I\negthinspace V 6786
- Remark on a Theorem of Hayman 7594
- Univalent Subordination Chains in Reflexive Complex Banach Spaces 83102
- A Note on Muskhelishvili-Vekua Reduction 113132
- Basic Properties of Monogenic Functions in a Biharmonic Plane 127146
- Bivariate Polynomial Interpolation at the Geronimus Nodes 135154
- The Blumenthal Conjecture 149168
- On the Families of Complex Lines Sufficient for Holomorphic Continuation of Functions Defined on a Domain Boundary 159178
- A Revised Proof of Spirallikeness 171190
- A Multidimensional Euler-Maclaurin Formulaand an Application 183202
- Injectivity and Starlikeness of Sections of a Class of Univalent Functions 195214
- A Fixed Point Theorem for Contractive Non-self Mappings 205224
- On Boundary Value Problems for the Beltrami Equations 211230
- 1. Introduction 211230
- 2. Preliminaries 214233
- 3. On regular domains 217236
- 4. On estimates of modulus of dashed lines 218237
- 5. On a continuous extension of solutions to the boundary 221240
- 6. The extension of the inverse mappings to the boundary 224243
- 7. On a homeomorphic extension to the boundary 226245
- 8. On regular solutions for the Dirichlet problem in the Jordan domains 228247
- 9. On pseudoregular solutions in multiply connected domains 232251
- 10. On multi-valued solutions in finitely connected domains 236255
- References 239258
- Global Extendibility Phenomenon for the Euler-Poisson-Darboux Equation 243262
- On the Zaremba Problem for the 𝑝-Laplace Operator 259278
- Bisection of Geodesic Segments in Hyperbolic Geometry 273292
- Existence of Solutions for a Class of Infinite Horizon Optimal Control Problems without Discounting Arising in Economic Dynamics 291310