Antipodality of spherical designs with odd harmonic indices

2024/10/12 by R. Misawa, Misawa, Ryutaro, Akihiro Munemasa +3 · 1 citation
Mathematics · Engineering · #Mathematical Approximation and Integration #Technology Assessment and Management #Calibration and Measurement Techniques

paper · pdf · doi:10.48550/arxiv.2410.09471

Abstract

We determine the smallest size of a non-antipodal spherical design with harmonic indices \1,3,…,2m-1\ to be 2m+1, where m is a positive integer. This is achieved by proving an analogous result for interval designs.

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