Tight 9-designs on two concentric spheres
Bannai, Eiichi · Bannai, Etsuko
Original · EN
The main purpose of this paper is to show the nonexistence of tight Euclidean 9-designs on 2 concentric spheres in Rⁿ if n≥ 3. This in turn implies the nonexistence of minimum cubature formulas of degree 9 (in the sense of Cools and Schmid) for any spherically symmetric integrals in Rⁿ if n≥ 3.
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