一个涉及穆尔黑德不等式的定理和算法

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-01-01 DOI:10.7153/jmi-2023-17-38

Xu Jia, Yongwei Yao, Xiao Ling Qin

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引用次数: 0

摘要

．设a, b∈rn是列向量，(u, v)是向量u和v在rn上的内积。设G∧GL (n, R)是紧矩阵群。对于A∈G和G上的连续函数f，积分(cid:2) G f (A) dA是紧群G的不变积分。在本文中，我们研究了这个不等式

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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A theorem and an algorithm involving Muirhead's inequality

. Let a , b ∈ R n be column vectors, and ( u , v ) be the inner product of vectors u and v on R n . Let G ⊂ GL ( n , R ) be a compact matrix group. For A ∈ G and a continue function f on G , the integral (cid:2) G f ( A ) dA is the invariant integral of the compact group G . In this paper, we study the inequality

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.