Tight 9-designs on two concentric spheres

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概要

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• 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.

• 2011-10-01

著者

• Bannai Eiichi

  Department Of Mathematics Faculty Of Science Kyushu University

• Bannai Eiichi

  Department Of Mathematics Shanghai Jiao Tong University

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• Spherical t-designs which are orbits of finite groups
• Tight 9-designs on two concentric spheres
• Tight 9-designs on two concentric spheres

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