论文标题
威尔逊在半群中的功能方程式的变体
A variant of Wilson's functional equation on semigroups
论文作者
论文摘要
我们确定以下功能方程\ [f（xy）+μ（y）f（σ（y）x）= 2F（x）g（x）g（y），\ quad x，y \ in s in $ s $是半摩托偶和$σ$ automorphism，$ semorphist thit i is a ymartow the s o varution the s y Mathbbbb， $μ（xσ（x））= 1 $ for S $中的所有$ x \。
We determine the complex-valued solutions of the following functional equation \[f(xy)+μ(y)f(σ(y)x) = 2f(x)g(y),\quad x,y\in S,\] where $S$ is a semigroup and $σ$ an automorphism, $μ:S\rightarrow \mathbb{C}$ is a multiplicative function such that $μ(xσ(x))=1$ for all $x\in S$.
