Continuous Semigroups of Holomorphic Self-maps of the Unit Disc (Paperback, 1st ed. 2020)

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 Caratheodory 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.

General

Imprint:	Springer Nature Switzerland AG
Country of origin:	Switzerland
Series:	Springer Monographs in Mathematics
Release date:	February 2021
First published:	2020
Authors:	Filippo Bracci • Manuel D. Contreras • Santiago Diaz-Madrigal
Dimensions:	235 x 155 x 36mm (L x W x T)
Format:	Paperback
Pages:	566
Edition:	1st ed. 2020
ISBN-13:	978-3-03-036784-8
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Complex analysis Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations Books > Science & Mathematics > Mathematics > Geometry > General Books > Science & Mathematics > Mathematics > Applied mathematics > Non-linear science Promotions
LSN:	3-03-036784-3
Barcode:	9783030367848

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