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The Minimizers of the p-frame potential
Applied and Computational Harmonic Analysis ( IF 2.5 ) Pub Date : 2020-04-30 , DOI: 10.1016/j.acha.2020.04.003 Zhiqiang Xu , Zili Xu
中文翻译:
p帧势的极小值
更新日期:2020-04-30
Applied and Computational Harmonic Analysis ( IF 2.5 ) Pub Date : 2020-04-30 , DOI: 10.1016/j.acha.2020.04.003 Zhiqiang Xu , Zili Xu
For any positive real number p, the p-frame potential of N unit vectors is defined as . In this paper, we focus on this quantity for points and establish uniqueness of minimizers of for all . Our results completely solve the minimization problem of the p-frame potential when , confirming a conjecture posed by Chen, Gonzales, Goodman, Kang and Okoudjou [4].
中文翻译:
p帧势的极小值
对于任何正实数p,N个单位向量的p帧势 被定义为 。在本文中,我们将重点放在 点并建立最小化的唯一性 对所有人 。我们的研究结果彻底解决的最小化问题p -frame潜力时,证实了陈,冈萨雷斯,古德曼,康和奥库久[4]提出的猜想。