Overview
Nonlinear semigroup theory is not only of intrinsic interest, but is also important in the study of evolution problems. In the last forty years, the generation theory of flows of holomorphic mappings has been of great interest in the theory of Markov stochastic branching processes, the theory of composition operators, control theory, and optimization. It transpires that the asymptotic behavior of solutions to evolution equations is applicable to the study of the geometry of certain domains in complex spaces.Readers are provided with a systematic overview of many results concerning both nonlinear semigroups in metric and Banach spaces and the fixed point theory of mappings, which are nonexpansive with respect to hyperbolic metrics (in particular, holomorphic self-mappings of domains in Banach spaces). The exposition is organized in a readable and intuitive manner, presenting basic functional and complex analysis as well as very recent developments.
Full Product Details
Author: Simeon Reich (Technion-israel Inst Of Tech, Israel) ,
David Shoikhet (The Technion - Israel Inst Of Tech, Israel)
Publisher: Imperial College Press
Imprint: Imperial College Press
Dimensions:
Width: 17.60cm
, Height: 2.50cm
, Length: 23.30cm
Weight: 0.667kg
ISBN: 9781860945755
ISBN 10: 1860945759
Pages: 372
Publication Date: 13 July 2005
Audience:
Professional and scholarly
,
Professional & Vocational
Format: Hardback
Publisher's Status: Active
Availability: Out of stock
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.
Reviews
"""The authors have done a very good job of collecting material scattered in the literature, and have been very precise in attributing results to the original authors. The book also contains an impressive number of examples and references."" Mathematical Reviews ""The present book provides a comprehensive, self-contained introduction to the modern theory of one-parameter semigroups, their stationary points and limiting behaviour. The reviewer strongly recommends the book to researchers who would like to become familiar with the area. The book is well-written and the material nicely presented. This book could also provide, either in total or in part, the basis of a graduate course in the theory of iterations and/or semigroups of holomorphic mappings."" Zentralblatt MATH"
""The authors have done a very good job of collecting material scattered in the literature, and have been very precise in attributing results to the original authors. The book also contains an impressive number of examples and references."" Mathematical Reviews ""The present book provides a comprehensive, self-contained introduction to the modern theory of one-parameter semigroups, their stationary points and limiting behaviour. The reviewer strongly recommends the book to researchers who would like to become familiar with the area. The book is well-written and the material nicely presented. This book could also provide, either in total or in part, the basis of a graduate course in the theory of iterations and/or semigroups of holomorphic mappings."" Zentralblatt MATH
The authors have done a very good job of collecting material scattered in the literature, and have been very precise in attributing results to the original authors. The book also contains an impressive number of examples and references. Mathematical Reviews The present book provides a comprehensive, self-contained introduction to the modern theory of one-parameter semigroups, their stationary points and limiting behaviour. The reviewer strongly recommends the book to researchers who would like to become familiar with the area. The book is well-written and the material nicely presented. This book could also provide, either in total or in part, the basis of a graduate course in the theory of iterations and/or semigroups of holomorphic mappings. Zentralblatt MATH
