Antipodality of spherical designs with odd harmonic indices
Ryutaro Misawa, Akihiro Munemasa, Masanori Sawa
公開日: 2024/10/12
Abstract
We determine the smallest size of a non-antipodal spherical design with harmonic indices $\{1,3,\dots,2m-1\}$ to be $2m+1$, where $m$ is a positive integer. This is achieved by proving an analogous result for interval designs.