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

Dmitry Shtrom
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Abstract

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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Dmitry Shtrom. 2003-06-28. The Delsarte Method in the Problem of the Antipodal Contact Numbers of Euclidean Spaces of High Dimensions. https://arxiv.org/abs/math/0306405

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