Representation Theorem for Multivariable Totally Symmetric Functions
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 genera...
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| Format: | Artikel |
| Sprache: | eng |
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| Zusammenfassung: | 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. |
|---|---|
| DOI: | 10.48550/arxiv.2211.15958 |