论文标题
多变量完全对称函数的表示定理
Representation Theorem for Multivariable Totally Symmetric Functions
论文作者
论文摘要
在这项工作中，我们建立了多变量完全对称函数的表示定理：多对称连续函数必须是连续函数的组成和多个对称多项式的一组发电机。然后，我们研究发电机的奇异性和几何形状，并表明应用分解后可能会变得更糟。
In this work, we establish a representation theorem for multivariable totally symmetric functions: a multisymmetric continuous function must be the composition of a continuous function and a set of generators of the multisymmetric polynomials. We then study the singularity and geometry of the generators, and show that the regularity may become worse after applying the decomposition.
