On Spherical Designs of Some Harmonic Indices

Electronic Journal Of Combinatorics

Yan Zhu¹ 

关键词: Spherical designs of harmonic index;    Gegenbauer polynomial;    Fisher type lower bound;    Tight design;    Larman-Rogers-Seidel';    s theorem;    Delsarte';    s method;    Semidefinite prog;   

DOI  :  

学科分类：离散数学和组合数学

来源: Electronic Journal Of Combinatorics

【 摘 要 】

A finite subset $Y$ on the unit sphere $S^{n-1} \subseteq \mathbb{R}^n$ is called a spherical design of harmonic index $t$, if the following condition is satisfied: $\sum_{\mathbf{x}\in Y}f(\mathbf{x})=0$ for all real homogeneous harmonic polynomials $f(x

【 授权许可】

Others