Applications of Wilson's functional equation

Sinopoulos, P

dc.contributor.author	Sinopoulos, P	en
dc.date.accessioned	2014-03-01T01:19:55Z
dc.date.available	2014-03-01T01:19:55Z
dc.date.issued	2004	en
dc.identifier.issn	00019054	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/15770
dc.subject	Abelian group	en
dc.subject	Matrix-valued function	en
dc.subject	Vector-valued function	en
dc.subject	Wilson's functional equation	en
dc.title	Applications of Wilson's functional equation	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s00010-003-2704-8	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s00010-003-2704-8	en
heal.publicationDate	2004	en
heal.abstract	Summary. We reduce the functional equation $$ f(x + y) - f(x - y) = \sum_{i=1}^{n} g_{i}(x)h_{i}(y) $$ for n = 1, 2, 3 to the matrix equation $$ E(x + y) + E(x - y) = [E(y) + E(-y)]E(x) $$ and we determine the general solutions for n = 2.	en
heal.journalName	Aequationes Mathematicae	en
dc.identifier.doi	10.1007/s00010-003-2704-8	en
dc.identifier.volume	67	en
dc.identifier.issue	1-2	en
dc.identifier.spage	188	en
dc.identifier.epage	194	en