One-dimensional Functional Equations

✍ Scribed by Genrich Belitskii, Vadim Tkachenko (auth.)

Publisher: Birkhäuser Basel
Year: 2003
Tongue: English
Leaves: 222
Series: Operator Theory: Advances and Applications 144
Edition: 1
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

The monograph is devoted to the study of functional equations with the transformed argument on the real line and on the unit circle. Such equations systematically arise in dynamical systems, differential equations, probabilities, singularities of smooth mappings and other areas.
The purpose of the book is to present the modern methods and new results in the subject with an emphasis on a connection between local and global solvability. Some of methods are presented for the first time in the monograph literature. The general concepts developed in the monograph are applicable to multidimensional functional equations.

✦ Table of Contents

Front Matter....Pages i-xiv
Implicit Functions....Pages 1-8
Classification of One-dimensional Mappings....Pages 9-76
Generalized Abel Equation....Pages 77-132
Equations with Several Transformations of Argument....Pages 133-155
Linear Equations....Pages 157-200
Back Matter....Pages 201-210

✦ Subjects

Dynamical Systems and Ergodic Theory; Functional Analysis; Global Analysis and Analysis on Manifolds; Operator Theory

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