Regularity Properties of Functional Equations in Several Variables

Name: Regularity Properties of Functional Equations in Several Variables
Brand: Springer-Verlag New York Inc.
SKU: 9780387244136
Price: 116.09 EUR
Availability: InStock

Автор: A. Jarai

Език:

Корици: С твърди корици

Издател: Springer-Verlag New York Inc.

Наличност: Външен склад в ограничено количество

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116.09 € 227.04 лв

This book illustrates the basic ideas of regularity properties of functional equations by simple exa...

Информация за книгата

Автор

A. Jarai

Език

Английски език

Корици

Книга - С твърди корици

Издадена

2005

страници

363

EAN

9780387244136

ISBN

0387244131

Enbook ID

01381202

Издател

Springer-Verlag New York Inc.

Теглоt

1550

Размери

155 x 235 x 25

Пълно описание

This book illustrates the basic ideas of regularity properties of functional equations by simple examples. It then treats most of the modern results about regularity of non-composite functional equations of several variables in a unified fashion. A long introduction highlights the basic ideas for beginners and several applications are also included.This book is about regularity properties of functional equations. In the second part of his fifth problem, Hilbert asked, concerning functional equations, "In how far are the assertions which we can make in the case of differentiable functions true under proper modifications without this assumption? This book contains, in a unified fashion, most of the modern results about regularity of non-composite functional equations with several variables. These results show that "weak regularity properties, say measurability or continuity, of solutions imply that they are in C[infinity], and hence the equation can be reduced to a differential equation. A long introduction highlights the basic ideas for beginners. Several applications are also included. §Audience§This book is intended for researchers in the fields of mathematical analysis, applied mathematics, theoretical economics, and statistics.

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