Numerical Range of Holomorphic Mappings and Applications

• Main Authors: Elin, Mark (Author, http://id.loc.gov/vocabulary/relators/aut), Reich, Simeon (http://id.loc.gov/vocabulary/relators/aut), Shoikhet, David (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2019.
• Edition: 1st ed. 2019.
• Subjects: Functional analysis.; Operator theory.; Functions of complex variables.; Functional Analysis.; Operator Theory.; Functions of a Complex Variable.

This book describes recent developments as well as some classical results regarding holomorphic mappings. The book starts with a brief survey of the theory of semigroups of linear operators including the Hille-Yosida and the Lumer-Phillips theorems. The numerical range and the spectrum of closed den...

Table of Contents:

• Preface
• Semigroups of Linear Operators
• Numerical Range
• Fixed Points of Holomorphic Mappings
• Semigroups of Holomorphic Mappings
• Ergodic Theory of Holomorphic Mappings
• Some Applications
• Bibliography
• Subject Index
• Author Index.