A Levi-Civita functional equation on semigroups

被引：1

作者：

Stetkaer, Henrik ^{[1
]}

机构：

[1] Aarhus Univ, Inst Math, Ny Munkegade 118, DK-8000 Aarhus C, Denmark

来源：

AEQUATIONES MATHEMATICAE | 2022年 / 96卷 / 01期

关键词：

Functional equation; Levi-Civita; Semigroup; Sine addition law;

D O I：

10.1007/s00010-021-00865-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let S be a semigroup. We describe the solutions f, g : S -> C of the functional equation f(xy) = f(x)g(y) + g(x)f(y) - g(x)g(y), x, y epsilon S, in terms of multiplicative functions on S and solutions of the particular case phi(xy) = phi(x)chi(y) + phi(y)chi(x), x, y epsilon S, of the sine addition law in which chi : S -> C is a non-zero multiplicative function and phi : S -> C.

引用

页码：115 / 127

页数：13

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