Lower bounds for projective designs, cubature formulas and related isometric embeddings

Details Lower bounds for projective designs, cubature formulas and related isometric embeddings Lower bounds for projective designs, cubature formulas and related isometric embeddings

2007-03-20

arxiv.org/abs/math/0703569v1

Mathematics

Combinatorics

Scientific paper

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.

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