The minimizers of the p-frame potential
文献类型：期刊论文
| 作者 | Xu, Zhiqiang1,2; Xu, Zili1,2 |
| 刊名 | APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS
 |
| 出版日期 | 2021-05-01 |
| 卷号 | 52页码:366-379 |
| 关键词 | Frame potential Tight frames Spherical designs |
| ISSN号 | 1063-5203 |
| DOI | 10.1016/j.acha.2020.04.003 |
| 英文摘要 | For any positive real number p, the p-frame potential of N unit vectors X := {x(1), ..., x(N)} subset of R-d is defined as FP (p,N,d) (X) = Sigma(i not equal j) vertical bar < x(i), x(j))vertical bar >(p). In this paper, we focus on this quantity for N = d + 1 points and establish uniqueness of minimizers of FP (p,d+1, d) for all p is an element of (0, 2). Our results completely solve the minimization problem of the p-frame potential when N = d + 1, confirming a conjecture posed by Chen, Gonzales, Goodman, Kang and Okoudjou [4]. (C) 2020 Elsevier Inc. All rights reserved. |
| 资助项目 | Beijing Natural Science Foundation[Z180002] ; NSFC[11688101] ; NSFC[91630203] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000620925100013 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/58209]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Xu, Zili |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Comp Math, LSEC, Beijing 100091, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Xu, Zhiqiang,Xu, Zili. The minimizers of the p-frame potential[J]. APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS,2021,52:366-379. |
| APA | Xu, Zhiqiang,&Xu, Zili.(2021).The minimizers of the p-frame potential.APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS,52,366-379. |
| MLA | Xu, Zhiqiang,et al."The minimizers of the p-frame potential".APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS 52(2021):366-379. |
入库方式： OAI收割
来源：数学与系统科学研究院
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