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Distortion Theorems in Relation to Linear Integral Operators, 1

Name: Distortion Theorems in Relation to Linear Integral Operators, 1
Brand: Springer Netherlands
SKU: 02258286
Price: 53.79 EUR
Availability: InStock
Author: Y. Komatu
ISBN: 9789401062817

Y. Komatu

Language

English

Book Paperback

Libristo code: 02258286

Publishers Springer Netherlands, October 2012

This book represents over twenty years of research on distortions of functionals under actions of li... Full description

Libristo code: 02258286

132 b

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This book represents over twenty years of research on distortions of functionals under actions of linear integral operators. It is divided into two parts. §The first part addresses linear integral operators, establishing their properties and attempting to arrive at both specialisations as well as generalisations to be used in the second part. The second part is devoted mainly to the development of several kinds of distortions under actions of integral operators for various familiar functionals. Among the topics that are treated are absolute modulus, real part, range, length and area, angular derivative, etc. Also, distortions on the class of univalent functions and its subclasses, Carathéodory class, and distortions by a differential operator are dealt with. §Audience: This volume will be of interest to researchers and graduate students whose work involves complex analysis, integral transforms, operational calculus and operator theory. The volume is self-contained, giving many proofs, and is suitable for private study as well as for seminars.