多变量完全对称函数的表示定理

IF 1.2 4区数学 Q2 MATHEMATICS, APPLIED

Communications in Mathematical Sciences Pub Date : 2024-07-15 DOI:10.4310/cms.2024.v22.n5.a2

Chongyao Chen, Ziang Chen, Jianfeng Lu

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引用次数: 0

摘要

在这项工作中，我们建立了一个多变量完全对称函数的表示定理：一个多对称连续函数必须是一个连续函数和一组多对称多项式的生成器的组合。然后，我们研究了生成器的奇异性和几何性，并证明了应用分解后正则性可能会变差。

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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 generators, and show that the regularity may become worse after applying the decomposition.

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来源期刊

Communications in Mathematical Sciences 数学-应用数学

CiteScore

1.70

自引率

10.00%

发文量

审稿时长

6 months

期刊介绍： Covers modern applied mathematics in the fields of modeling, applied and stochastic analyses and numerical computations—on problems that arise in physical, biological, engineering, and financial applications. The journal publishes high-quality, original research articles, reviews, and expository papers.