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.
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页码：209 / 235
页数：27
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