Applications of Wilson's functional equation
type: Item
instance of: scholarly article
title: Applications of Wilson's functional equation
zbMATH Open document ID: 1060.39025
author: Pavlos Sinopoulos
published in: Aequationes Mathematicae
publication date: 2004-11-26T00:00:00Z
review text: Let \(G\) be an abelian group divisible by 2 and \(F\) an algebraically closed commutative field of characteristic zero. The author offers a method for finding the general solutions \(f, g_j, h_j : G\to F\; (j=1,\dots,n)\) of the functional equation \(f(x+y)-f(x-y)=\sum^n_{j=1}g_j(x)h_j(y)\;(x,y\in G)\) in the cases \(n=1\) [done before by the author in Aequationes Math. 48, 171--193 (1994; Zbl 0811.39003)], \(n=2\) (details offered here) and \(n=3\).
Mathematics Subject Classification ID: 39B52
Mathematics Subject Classification ID: 39B42
Mathematics Subject Classification ID: 39B72
zbMATH DE Number: 2119237
zbMATH Keywords: functional equations
zbMATH Keywords: abelian groups divisible by 2
zbMATH Keywords: algebraically closed commutative fields
reviewed by: János Aczél
MaRDI profile type: Publication
full work available at URL: s00010-003-2704-8
OpenAlex ID: W2006795074
DOI: 10.1007/S00010-003-2704-8
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description: scientific article; zbMATH DE number 2119237