Construction of spherical t-designs
Construction of spherical t-designs
复制标题
球形 T 型设计的构造
DOI：
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发表时间：
1992
期刊：
影响因子：
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通讯作者：
B. Bajnok
中科院分区：
文献类型：
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作者：
B. Bajnok
Spherical t-designs are Chebyshev-type averaging sets on the d-dimensional unit sphere Sd−1, that are exact for polynomials of degree at most t. The concept of such designs was introduced by Delsarte, Goethals and Seidel in 1977. The existence of spherical t-designs for every t and d was proved by Seymour and Zaslavsky in 1984. Although some sporadic examples are known, no general construction has been given. In this paper we give an explicit construction of spherical t-designs on Sd−1 containing N points, for every t,d and N,N≥N0, where N0 = C(d)tO(d3).
