射影设计、求积公式及相关等距嵌入的下界
Lower bounds for projective designs, cubature formulas and related isometric embeddings
摘要：
本文将Yudin球面设计的下界推广到域K上的射影空间上的容积公式，其中K可以是R，C或H（四元数域），从而推广到l_2到l_p中的等距嵌入，其中p是偶数.对于大p和其他一些情况，这基本上比以前已知的那些更好。
英文摘要：
Yudin's lower bound for the spherical designs is generalized to the cubature formulas on the projective spaces over a field K, where K can be R, C, or H (the field of quaternions), and thus to isometric embeddings of l_2 into l_p with p an even integer. For large p and in some other situations this is essentially better than those known before.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
