Continuous Semigroups of Holomorphic Self-maps of the Unit Disc
Aus der Reihe
Springer Monographs in Mathematics
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- Hardcover ausgewählt
- Taschenbuch
- eBook
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Sprache:Englisch
Fr. 181.00
inkl. gesetzl. MwSt.,
Beschreibung
Produktdetails
Einband
Gebundene Ausgabe
Erscheinungsdatum
15.02.2020
Abbildungen
XXVII, 566 p. 18 illus.
Verlag
SpringerSeitenzahl
566
Maße (L/B/H)
24.1/16/3.8 cm
Gewicht
1051 g
Auflage
20001 Auflage 1st ed. 2020
Sprache
Englisch
ISBN
978-3-030-36781-7
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.
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