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portada Continuous Semigroups of Holomorphic Self-Maps of the Unit Disc (Springer Monographs in Mathematics)
Type
Physical Book
Publisher
Author
Year
2020
Language
English
Pages
566
Format
Hardcover
ISBN13
9783030367817
Edition No.
1
Categories

Continuous Semigroups of Holomorphic Self-Maps of the Unit Disc (Springer Monographs in Mathematics)

Filippo Bracci; Manuel D. Contreras; Santiago DÍAz-Madrigal (Author) · Springer · Hardcover

Continuous Semigroups of Holomorphic Self-Maps of the Unit Disc (Springer Monographs in Mathematics) - Filippo Bracci; Manuel D. Contreras; Santiago DÍAz-Madrigal

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Origin: United Kingdom Import costs included in the price ✅
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Synopsis "Continuous Semigroups of Holomorphic Self-Maps of the Unit Disc (Springer Monographs in Mathematics) "

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 proved in details.

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