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arXiv · 2211.15958

Representation Theorem for Multivariable Totally Symmetric Functions

Chongyao Chen·Ziang Chen·Jianfeng Lu
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Abstract

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.

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Chongyao Chen, Ziang Chen, Jianfeng Lu. 2022-11-29. Representation Theorem for Multivariable Totally Symmetric Functions. https://arxiv.org/abs/2211.15958

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