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Distortion Theorems in Relation to Linear Integral Operators

Language EnglishEnglish
Book Hardback
Book Distortion Theorems in Relation to Linear Integral Operators Y. Komatu
Libristo code: 01395244
Publishers Springer Netherlands, December 2012
This book represents over twenty years of research on distortions of functionals under actions of li... Full description
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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.

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About the book

Full name Distortion Theorems in Relation to Linear Integral Operators
Author Y. Komatu
Language English
Binding Book - Hardback
Date of issue 2012
Number of pages 312
EAN 9780792343042
Libristo code 01395244
Publishers Springer Netherlands
Weight 705
Dimensions 165 x 246 x 25

Categories

Mathematics & Science > Mathematics > Calculus & mathematical analysis > Calculus
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