Wilson's functional equation in dimension 3

Sinopoulos, P

dc.contributor.author	Sinopoulos, P	en
dc.date.accessioned	2014-03-01T01:19:42Z
dc.date.available	2014-03-01T01:19:42Z
dc.date.issued	2003	en
dc.identifier.issn	00019054	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/15671
dc.subject	Commuting matrices	en
dc.subject	D'Alembert's functional equation	en
dc.subject	Matrix-valued functions	en
dc.subject	Simultaneous triangularization	en
dc.subject	Wilson's functional equation	en
dc.title	Wilson's functional equation in dimension 3	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s00010-003-2680-z	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s00010-003-2680-z	en
heal.publicationDate	2003	en
heal.abstract	We determine the general solution of the functional equation f(x + y) + f(x - y) = A(y) f(x) (x, y ∈ G), where G is a 2-divisible abelian group, A is a 3 × 3 matrix-valued function and f is a vector-valued function with linearly independent components. Using this result we solve the scalar equation f(x + y) + f(x - y) = g1(x)h1(y) + g2(x)h 2(y) + g3(x)h3(y) (x, y ∈ G).	en
heal.journalName	Aequationes Mathematicae	en
dc.identifier.doi	10.1007/s00010-003-2680-z	en
dc.identifier.volume	66	en
dc.identifier.issue	1-2	en
dc.identifier.spage	164	en
dc.identifier.epage	179	en