论文标题
使用Aichinger的方程来表征多项式函数
Using Aichinger's equation to characterize polynomial functions
论文作者
论文摘要
Aichinger的方程用于简单证明多项式函数作为某些功能方程的解决方案的几种众所周知的特征。具体而言，我们使用Aichinger的方程来表征多项式函数，以求解任意交换组，Ghurye-Olkin的功能方程，Wilson的功能方程，Kakutani-Nagumo-Walsh功能方程，以及Fréchet的无用功能方程的一般版本。
Aichinger's equation is used to give simple proofs of several well-known characterizations of polynomial functions as solutions of certain functional equations. Concretely, we use that Aichinger's equation characterizes polynomial functions to solve, for arbitrary commutative groups, Ghurye-Olkin's functional equation, Wilson's functional equation, the Kakutani-Nagumo-Walsh functional equation, and a general version of Fréchet's unmixed functional equation.
