Spherical designs via Brouwer fixed point theorem

Mathematics – Numerical Analysis

Scientific paper

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17 pages

Scientific paper

10.1137/080738313

For each N>=c_d*n^{2d*(d+1)/(d+2)} we prove the existence of a spherical
n-design on S^d consisting of N points, where c_d is a constant depending only
on $d$.

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