The solution of the functional equation of D'Alembert's type for commutative groups

A functional equation of the form ϕ1(x+y)+ϕ2(x−y)=∑inαi(x)βi(y), where functions ϕ1,ϕ2,αi,βi, i=1,…,n are defined on a commutative group, is solved. We also obtain conditions for the solutions of this equation to be matrix elements of a finite dimensional representation of the group.

Detalhes bibliográficos

Autor principal:	A. L. Rukhin
Formato:	Artigo
Idioma:	Inglês
Publicado em:	Wiley 1982-01-01
coleção:	International Journal of Mathematics and Mathematical Sciences
Assuntos:	D'Alembert's (cosine) functional equation finite dimensional representations commutative groups fields of characteristic zero.
Acesso em linha:	http://dx.doi.org/10.1155/S0161171282000301
Tags:	Adicionar Tag Sem tags, seja o primeiro a adicionar uma tag!