• Corpus ID: 254069739

Representation Theorem for Multivariable Totally Symmetric Functions

@inproceedings{Chen2022RepresentationTF,
  title={Representation Theorem for Multivariable Totally Symmetric Functions},
  author={Chongyao Chen and Ziang Chen and Jian Lu},
  year={2022}
}
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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