多面体上的 SL(n) 避变函数值估值

IF 1 3区数学 Q3 MATHEMATICS, APPLIED

Advances in Applied Mathematics Pub Date : 2024-04-02 DOI:10.1016/j.aam.2024.102693

Zhongwen Tang , Jin Li , Gangsong Leng

引用次数: 0

摘要

我们提出了一个关于多面体上的 SL(n) 避变、C(Rn∖{o})值估值的完整分类，不需要任何额外的假设。它扩展了第二作者李（2020）[10] 以前的结果，这些结果与 Lp 和 Orlicz Brunn-Minkowski 理论有很好的联系。此外，我们的结果还推导出了多面体上 SL(n) 避变对称张量值估值的完整分类。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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SL(n) contravariant function-valued valuations on polytopes

We present a complete classification of $SL (n)$ contravariant, $C (R^{n} ∖ {o})$ -valued valuations on polytopes, without any additional assumptions. It extends the previous results of the second author Li (2020) [10] which have a good connection with the $L_{p}$ and Orlicz Brunn-Minkowski theory. Additionally, our results deduce a complete classification of $SL (n)$ contravariant symmetric-tensor-valued valuations on polytopes.

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来源期刊

Advances in Applied Mathematics 数学-应用数学

CiteScore

2.00

自引率

9.10%

发文量

审稿时长

85 days

期刊介绍： Interdisciplinary in its coverage, Advances in Applied Mathematics is dedicated to the publication of original and survey articles on rigorous methods and results in applied mathematics. The journal features articles on discrete mathematics, discrete probability theory, theoretical statistics, mathematical biology and bioinformatics, applied commutative algebra and algebraic geometry, convexity theory, experimental mathematics, theoretical computer science, and other areas. Emphasizing papers that represent a substantial mathematical advance in their field, the journal is an excellent source of current information for mathematicians, computer scientists, applied mathematicians, physicists, statisticians, and biologists. Over the past ten years, Advances in Applied Mathematics has published research papers written by many of the foremost mathematicians of our time.