Continuous Semigroups of Holomorphic Self-maps of the Unit Disc

Filippo Bracci

ISBN 10: 3030367819 / ISBN 13: 9783030367817

Published by Springer International Publishing, Springer International Publishing, 2020

About this Item

Druck auf Anfrage Neuware - Printed after ordering - 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.

Seller Inventory # 9783030367817

Bibliographic Details

• Title: Continuous Semigroups of Holomorphic Self-maps of the Unit Disc
• Publisher: Springer International Publishing, Springer International Publishing
• Publication Date: 2020
• Language: English
• ISBN 10: 3030367819
• ISBN 13: 9783030367817
• Binding: Buch
• Condition: Neu
• Dimensions: 241W x 160H x 38D millimeters 241 millimeters width by 160 millimeters height by 38 millimeters depth
• Weight: 1051 grams

About this title

Synopsis

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 Author

Prof. Filippo Bracci obtained his PhD in Mathematics at the University of Padova in 2001. He is full professor at the University of Rome Tor Vergata since 2007. He was the principal investigator of the ERC project “HEVO”. His research interests include complex analysis, several complex variables and holomorphic dynamics.

 

Prof. Manuel D. Contreras obtained his Ph.D. in Mathematics at the Universidad de Granada in 1993. He is full professor at Departamento de Matemática Aplicada II of the Universidad de Sevilla. His main research interests are complex analysis, geometric function theory, holomorphic dynamics, spaces of analytic functions and operators acting on them.

 

Prof. Santiago Díaz-Madrigal obtained his Ph.D. in Mathematics at the Universidad de Sevilla in 1990. He is a full professor at Universidad de Sevilla in the department of Matemática Aplicada II since 1998. His current research interests include complex analysis, dynamical systems and probability and, especially, those areas where these topics interact with each other.