A generalization of addition formulae

被引：0
|
作者：
Janusz Brzdęk
机构：
[1] Pedagogical University Podchorążych 2,Department of Mathematics
来源：
Acta Mathematica Hungarica | 2003年 / 101卷
关键词：
topological group; addition formulas; semigroup; Gołąb–Schinzel functional equation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Let R denote the set of reals, J a real interval and X a real linear space. We determine the functions g : X →J, M : J → R and H : J2 → R satisfying the equationg(x+M(g(x))y)=H(g(x),g(y)),under the assumptions that g is continuous on rays, M is continuous, and H is symmetric. As a consequence we obtain characterizations of some groups and semigroups.
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页码：281 / 291
页数：10
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