Continuous Semigroups of Holomorphic Self-maps of the Unit Disc
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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.

About the book
Author
Filippo  Bracci , Manuel D.  Contreras , Santiago  Díaz-Madrigal
Imprint
Springer
Collection
Springer Monographs in Mathematics
Publication date
2020-02-14
Pages
566 pages
Print ISBN
9783030367817
Language
English
Ebook informations
EAN PDF
9783030367824
Price
£119.50
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Copy count 5
Print count 56
File size 7639 Ko
Ce livre est accessible aux handicaps   Informations accessibility
EAN EPUB
9783030367824
Price
£119.50
Read more
Copy count 5
Print count 56
File size 70810 Ko
Ce livre est accessible aux handicaps   Informations accessibility
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