书目名称 | Continuous Semigroups of Holomorphic Self-maps of the Unit Disc |
编辑 | Filippo Bracci,Manuel D. Contreras,Santiago Díaz-M |
视频video | |
概述 | Complete updated self-contained book on the theory of semigroups.Can be used as a reference source for researchers and as an introductory book for graduate students in complex analysis and iteration t |
丛书名称 | Springer Monographs in Mathematics |
图书封面 |  |
描述 | 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.. |
出版日期 | Book 2020 |
关键词 | Semigroups of holomorphic functions; Univalent functions; Hyperbolic metric; Iteration theory; Holomorph |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-030-36782-4 |
isbn_softcover | 978-3-030-36784-8 |
isbn_ebook | 978-3-030-36782-4Series ISSN 1439-7382 Series E-ISSN 2196-9922 |
issn_series | 1439-7382 |
copyright | Springer Nature Switzerland AG 2020 |