Geometric Function Theory in Higher Dimension

• Corporate Author: SpringerLink (Online service)
• Other Authors: Bracci, Filippo (Editor, http://id.loc.gov/vocabulary/relators/edt)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Edition: 1st ed. 2017.
• Series: Springer INdAM Series, 26
• Subjects: Functions of complex variables.; Functional analysis.; Dynamics.; Ergodic theory.; Several Complex Variables and Analytic Spaces.; Functions of a Complex Variable.; Functional Analysis.; Dynamical Systems and Ergodic Theory.

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 particul...

Table of Contents:

• 1 Matteo Fiacchi, The Embedding Conjecture and the Approximation Conjecture in Higher Dimension
• 2 Mark Elin and David Shoikhet, Fixed Points of Pseudo-Contractive Holomorphic Mappings
• 3 Leandro Arosio, On Parabolic Dichomoty
• 4 Cho-Ho Chu, Jordan Structures in Bounded Symmetric Domains
• 5 Hervé Gaussier and Cezar Joita, On Runge Neighborhoods of Closures of Domains Biholomorphic to a Ball
• 6 Pavel Gumenyuk, Parametric Representations and Boundary Fixed Points of Univalent Self-Maps of the Unit Disk
• 7 Oliver Roth, Is there a Teichmuller principle in higher dimensions?
• 8 Jerry R. Muir Jr., Open Problems Related to a Herglotz-Type Formula for Vector-Valued Mappings
• 9 Hidetaka Hamada et al., Extremal Problems and Convergence Results for Mappings with Generalized Parametric Representation in Cn
• 10 Nathan Albin and Pietro Poggi-Corradini, Open Problems and New Directions for p-Modulus on Networks
• 11 Hervé Gaussier, Metric Properties of Domains in Cn
• 12 Dov Aharonov and U. Elias, On a Solution of a Particular Case of Aliaga-Tuneski Question
• 13 Ian Graham et al., Loewner Chains and Extremal Problems for Mappings with A-Parametric Representation Cn.