Continuous Semigroups of Holomorphic Self-maps of the Unit Disc Paperback / softback
by Filippo Bracci, Manuel D. Contreras, Santiago Diaz-Madrigal
Part of the Springer Monographs in Mathematics series
Paperback / softback
Description
The book faces the interplay among dynamical properties of semigroups, analytical properties of infinitesimal generators and geometrical properties of Koenigs functions.
The book includes precise descriptions of the behavior of trajectories, backward orbits, petals and boundary behavior in general, aiming to give a rather complete picture of all interesting phenomena that occur.
In order to fulfill this task, we choose to introduce a new point of view, which is mainly based on the intrinsic dynamical aspects of semigroups in relation with the hyperbolic distance and a deep use of Carathéodory prime ends topology and Gromov hyperbolicity theory.
This work is intended both as a reference source for researchers interested in the subject, and as an introductory book for beginners with a (undergraduate) background in real and complex analysis.
For this purpose, the book is self-contained and all non-standard (and, mostly, all standard) results are provedin details.
Information
-
Out of stock
- Format:Paperback / softback
- Pages:566 pages, 18 Illustrations, black and white; XXVII, 566 p. 18 illus.
- Publisher:Springer Nature Switzerland AG
- Publication Date:15/02/2021
- Category:
- ISBN:9783030367848
Other Formats
- Hardback from £113.75
Information
-
Out of stock
- Format:Paperback / softback
- Pages:566 pages, 18 Illustrations, black and white; XXVII, 566 p. 18 illus.
- Publisher:Springer Nature Switzerland AG
- Publication Date:15/02/2021
- Category:
- ISBN:9783030367848
