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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2211.15958 |
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| _version_ | 1866910760117993472 |
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| author | Chen, Chongyao Chen, Ziang Lu, Jianfeng |
| author_facet | Chen, Chongyao Chen, Ziang Lu, Jianfeng |
| 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_15958 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Representation Theorem for Multivariable Totally Symmetric Functions Chen, Chongyao Chen, Ziang Lu, Jianfeng Classical Analysis and ODEs 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. |
| title | Representation Theorem for Multivariable Totally Symmetric Functions |
| topic | Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2211.15958 |