Lower bounds for projective designs, cubature formulas and related isometric embeddings
Combinatorics
2007-05-23 v1
Abstract
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.
Cite
@article{arxiv.math/0703569,
title = {Lower bounds for projective designs, cubature formulas and related isometric embeddings},
author = {Yuri Lyubich},
journal= {arXiv preprint arXiv:math/0703569},
year = {2007}
}