The linear-affine functional equation and group actions

被引：0

作者：

Fripertinger, H ^{[1
]}

Reich, L ^{[1
]}

Schwaiger, J ^{[1
]}

机构：

[1] Karl Franzens Univ Graz, Inst Math, A-8010 Graz, Austria

来源：

PUBLICATIONES MATHEMATICAE-DEBRECEN | 2004年 / 64卷 / 1-2期

关键词：

linear-affine functional equation; group actions; semigroup actions;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate generalizations of the linear-affine functional equation u(rx) = alpha(r)u(x) + beta(r) usually studied for r, x is an element of R->0 or r, x is an element of R-greater than or equal to1, by introducing a group action of a group R on a set X on the left hand side, and by studying actions of affine or arbitrary (semi) groups on the right-hand side of this equation.

引用

页码：209 / 235

页数：27

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