The Delsarte Method in the Problem of the Antipodal Contact Numbers of Euclidean Spaces of High Dimensions

Details The Delsarte Method in the Problem of the Antipodal Contact Numbers of Euclidean Spaces of High Dimensions The Delsarte Method in the Problem of the Antipodal Contact Numbers of Euclidean Spaces of High Dimensions

2003-06-28

arxiv.org/abs/math/0306405v1

Mathematics

Classical Analysis and ODEs

30 pages, LaTeX

Scientific paper

We study the Delsarte problem for even functions continuous on [-1,1],
nonpositive on [-1/2,1/2], and representable as series with respect to the
ultraspherical polynomials. The value of the Delsarte problem gives an upper
bound for the largest power of antipodal spherical 1/2-code of the space Rm.

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