This monograph is a detailed development of geometric function theory in several complex variables from basic principles, focusing on the Euclidean unit ball as the domain. A thorough treatment covering decades of progress, the text presents subjects central to the field including the families of convex, starlike, and spirallike mappings, Loewner theory, and extension operators, as well as myriad additional topics such as linear invariance, Denjoy-Wolff theory, invariant metrics, holomorphic semigroups, the Andersen-Lempert theorem, Gromov hyperbolicity, and a Herglotz-type representation.
Many results from the one-variable theory are found, often as consequences of higher-dimensional results. All background needed beyond what is found in standard introductory graduate courses is provided, including introductory material on holomorphic mappings of several variables, ensuring the book is valuable to interested graduate students and experienced researchers alike.
| ISBN: | 9781470485764 |
| Publication date: | 25th October 2026 |
| Author: | Jerry R Muir |
| Publisher: | American Mathematical Society |
| Format: | Paperback |
| Pagination: | 568 pages |
| Series: | Mathematical Surveys and Monographs |
| Genres: |
Calculus and mathematical analysis Geometry Topology |
This monograph is a detailed development of geometric function theory in several complex variables from basic principles, focusing on the Euclidean unit ball as the domain. A thorough treatment covering decades of progress, the text presents subjects central to the field including the families of convex, starlike, and spirallike mappings, Loewner theory, and extension operators, as well as myriad additional topics such as linear invariance, Denjoy-Wolff theory, invariant metrics, holomorphic semigroups, the Andersen-Lempert theorem, Gromov hyperbolicity, and a Herglotz-type representation.
Geometric Function Theory in the Unit Ball of C^n features in the following genres: Calculus and mathematical analysis, Geometry, Topology
Paperback. £107.10, down from the £119.00 cover price. Not Available.
Geometric Function Theory in the Unit Ball of C^n was written by Jerry R Muir and published by American Mathematical Society
Geometric Function Theory in the Unit Ball of C^n has 568 pages
Yes it is part of Mathematical Surveys and Monographs series
£107.10, reduced from £119.00. Not Available.