Type(s) de contenu et mode(s) de consultation : Texte noté : électronique

Auteur(s) : Járai, Antal  Voir les notices liées en tant qu'auteur

Titre(s) : Regularity properties of functional equations in several variables [Texte électronique] / by Antal Járai

Titre d'ensemble : Springer e-books

Publication : New York : Springer, 2005

Description matérielle : 1 online resource (viii, 363 pages)

Collection : Advances in mathematics ; v. 8

Note(s) : Includes bibliographical references (pages 335-346) and index
"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[superscript [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." "This book is intended for researchers in the fields of mathematical analysis, applied mathematics, theoretical economics, and statistics."--Jacket

Sujet(s) : Continu (philosophie)  Voir les notices liées en tant que sujet
Équations fonctionnelles  Voir les notices liées en tant que sujet

Identifiants, prix et caractéristiques : ISBN 9780387244143

Identifiant de la notice  : ark:/12148/cb44641449k

Notice n° :  FRBNF44641449 (notice reprise d'un réservoir extérieur)

Table des matières : Preliminaries ; Steinhaus type theorems ; Boundedness and continuity of solutions ; Differentiability and analyticity ; Regularity theorems on manifolds ; Regularity results with fewer variables ; Applications.