发表机构
California State University, Northridge（北岭加州州立大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文证明对任意p>2，单位球面上存在密度任意接近1的正交球谐函数子序列达到最大Lp范数增长，将Han的结果推广到所有维数。
AI 中文摘要
本文证明，对于每个p>2，在单位球面Sn（n≥2）上存在一个正密度的正交球谐函数子序列，该子序列达到最大的Lp范数增长。事实上，该密度可以任意接近1。这扩展了Han（arXiv:1404.5016）的结果到所有维数和所有p>2。
英文摘要
In this paper, we show that for every p>2, there is an orthonormal basis of spherical harmonics on Sn with n>=2 which achieves the maximal Lp norm growth. More precisely, one basis achieves this growth for all p<=2(n+1)/(n-1), and another for all p>=2(n+1)/(n-1). This extends the results in Han (arXiv:1404.5016) to all dimensions and all p>2, and improves the positive density subsequence there to a whole basis.
Comments14 pages; construction has been improved to produce whole eigenbases with maximal Lp norm growth
