Regularity Properties of Functional Equations in Several Variables (Hardcover, 2005 ed.)

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.

General

Imprint:	Springer-Verlag New York
Country of origin:	United States
Series:	Advances in Mathematics, 8
Release date:	March 2005
First published:	2005
Authors:	Antal J arai
Dimensions:	235 x 155 x 22mm (L x W x T)
Format:	Hardcover
Pages:	363
Edition:	2005 ed.
ISBN-13:	978-0-387-24413-6
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis
LSN:	0-387-24413-1
Barcode:	9780387244136

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