On a joint generalization of Cauchy's and d'Alembert's functional equations期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

On a joint generalization of Cauchy's and d'Alembert's functional equations

Authors:

Roman Badora

Affiliation:

1. Institute of Mathematics, Silesian University, Bankowa 14, PL-40-007, Katowice, Poland

Abstract:

LetX be a locally compact abelian group and let a compact groupG act onX. We find solutionsf: X map

inL(X) of the following functional equation:

$int_G {(f*v_{gy} )(x)dm(g)} = f(x)f(y),x,y in X$

Keywords:	AMS (1980) subject classification Primary 39B70 Secondary 43A05
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