Regularity Properties of Functional Equations in Several Variables

by Antal Járai

Overview

Preliminaries.- Steinhaus Type Theorems.- Boundedness and Continuity of Solutions.- Differentiability and Analyticity.- Regularity Theorems on Manifolds.- Regularity Results with Fewer Variables.- Applications.

Product Details

ISBN-13:	9781441937407
Publisher:	Springer US
Publication date:	12/08/2010
Series:	Advances in Mathematics , #8
Edition description:	Softcover reprint of hardcover 1st ed. 2005
Pages:	363
Product dimensions:	6.10(w) x 9.25(h) x 0.03(d)

Table of Contents

Preliminaries.- Steinhaus Type Theorems.- Boundedness and Continuity of Solutions.- Differentiability and Analyticity.- Regularity Theorems on Manifolds.- Regularity Results with Fewer Variables.- Applications.

Editorial Reviews

From the reviews of the first edition:

"This book is a welcome addition to the functional equations literature. … The author does a masterful job of organizing and summarizing the results of the last 50 years and weaving them together into a coherent general theory. There are over 200 references. The book is very carefully written … . The author has certainly achieved his stated goal of making these results ‘more accessible and easier to use for everyone working with functional equations.’" (Bruce Ebanks, Zentralblatt MATH, Vol. 1081, 2006)

From the Publisher