Bracci F. (Ed.) Geometric Function Theory in Higher Dimension

Springer International Publishing AG, 2017. — 185 p. — (Springer INdAM Series 26). — ISBN: 3319731254.The book collects the most relevant outcomes from the INdAM Workshop "Geometric Function Theory in Higher Dimension" held in Cortona on September 5-9, 2016. The Workshop was mainly devoted to discussions of basic open problems in the area, and this volume follows the same line.
In particular, it offers a selection of original contributions on Loewner theory in one and higher dimensions, semigroups theory, iteration theory and related topics. Written by experts in geometric function theory in one and several complex variables, it focuses on new research frontiers in this area and on challenging open problems. The book is intended for graduate students and researchers working in complex analysis, several complex variables and geometric function theory.The Embedding Conjecture and the Approximation Conjecture in Higher Dimension
Fixed Points of Pseudo-Contractive Holomorphic Mappings
On Parabolic Dichotomy
Jordan Structures in Bounded Symmetric Domains
On Runge Neighborhoods of Closures of Domains Biholomorphic to a Ball
Parametric Representations and Boundary Fixed Points of Univalent Self-Maps of the Unit Disk
Is There a Teichmüller Principle in Higher Dimensions?
Open Problems Related to a Herglotz-Type Formula for Vector-Valued Mappings
Extremal Problems and Convergence Results for Mappings with Generalized Parametric Representation in Cⁿ
Open Problems and New Directions for p-Modulus on Networks
Metric Properties of Domains in Cⁿ
On a Solution of a Particular Case of Aliaga-Tuneski Question
Loewner Chains and Extremal Problems for Mappings with A-Parametric Representation in Cⁿ