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£62.99

Birkhauser Numerical Range of Holomorphic Mappings and Applications

Name: Numerical Range of Holomorphic Mappings and Applications
Brand: Birkhauser
Price: 62.99 GBP
Availability: InStock

Complex Analysis

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Description

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 densely defined linear operators are then discussed in more detail and an overview of ergodic theory is presented. The analytic extension of semigroups of linear operators is also discussed. The recent study of the numerical range of composition operators on the unit disk is mentioned. Then, the basic notions and facts in infinite dimensional holomorphy and hyperbolic geometry in Banach and Hilbert spaces are presented, L. A. Harris' theory of the numerical range of holomorphic mappings is generalized, and the main properties of the so-called quasi-dissipative mappings and their growth estimates are studied. In addition, geometric and quantitative analytic aspects of fixed point theory are discussed. A special chapter is devoted to applications of the numerical range to diverse geometric and analytic problems. Review “The book will serve as an excellent resource for mathematicians and applied scientists working at the frontier of the field and/or in the range of its applications. The book can also serve as an excellent graduate text for young and aspiring researchers in the field of infinite-dimensional holomorphy.” (Abebaw Tadesse, Mathematical Reviews, December, 2019) From the Back Cover 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 densely defined linear operators are then discussed in more detail and an overview of ergodic theory is presented. The analytic extension of semigroups of linear operators is also discussed. The recent study of the numerical range of composition operators on the unit disk is mentioned. Then, the basic notions and facts in infinite dimensional holomorphy and hyperbolic geometry in Banach and Hilbert spaces are presented, L. A. Harris' theory of the numerical range of holomorphic mappings is generalized, and the main properties of the so-called quasi-dissipative mappings and their growth estimates are studied. In addition, geometric and quantitative analytic aspects of fixed point theory are discussed. A special chapter is devoted to applications of the numerical range to diverse geometric and analytic problems.

Product Specifications

Brand: Birkhauser
Format: hardcover
ASIN: 303005019X
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis > Complex Analysis
Domain: Amazon UK
Release Date: 21 March 2019
Listed Since: 26 October 2018

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Birkhauser Numerical Range of Holomorphic Mappings and Applications

About as cheap as it gets. The only time it was cheaper was 1 month ago.

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