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Bibliographic Details
Main Authors:	Chen, Chongyao, Chen, Ziang, Lu, Jianfeng
Format:	Preprint
Published:	2022
Subjects:	Classical Analysis and ODEs
Online Access:	https://arxiv.org/abs/2211.15958
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Table of Contents:

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.