Finite difference operator; Functional equation; Polynomial; Distribution theory
Abstract :
[en] In this paper we study the Fréchet functional equation in the n-dimensional Euclidian space as well as in the context of distributions. We also generalizethe Cauchy functional equation for distributions to any natural order.
Disciplines :
Mathematics
Author, co-author :
Molla, Arman ; Université de Liège - ULiège > Département de mathématique > Analyse - Analyse fonctionnelle - Ondelettes
Nicolay, Samuel ; Université de Liège - ULiège > Département de mathématique > Analyse - Analyse fonctionnelle - Ondelettes
Schneiders, Jean-Pierre ; Université de Liège - ULiège > Département de mathématique > Analyse algébrique
Language :
English
Title :
On some generalizations of the Fréchet functional equations
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