G.Glaeser定理的一个推广

A Generalization of G.Glaeser Theorem

借助于Malgrange预备定理得到了G.Glaeser定理的一个推广:关于任意有限群不变的光滑函数芽可以表示为该有限群作用下的一组不变齐次多项式芽的光滑函数芽.最后,举出实例加以说明.

In this paper,by means of the Malgrange preparation theorem,we will obtain a generalization of G.Glaeser theorem.Under the action of an arbitrary finite group,agerm of invariant function will be represented as a function germ of a set of invariant polynomial germs.Finally,we also give a practical example to explain the equation.