Ryutaro Misawa

collaborators

5 papers

math.CO2026

Spherical Designs with Infinite Harmonic Strength

Ryutaro Misawa, Yusaku Nishimura

In this paper, we study the existence problem for spherical $T$-designs on the $d$-dimensional sphere, where $T$ is an infinite subset of $\mathbb N$. We show that, if \(d\…

math.CO2026

Spherical Designs on $S^{1}$ of Finite Harmonic Strength

Ryutaro Misawa, Yusaku Nishimura

We study exact harmonic strengths of finite spherical designs on the unit circle. For a nonempty finite set $X\subset S^1$, let $\Hst(X)$ be the set of positive integers $k$…

math.CO2026

Explicit construction of spherical $5$ - and $7$ -designs

Ryutaro Misawa

This paper develops an explicit and implementable framework for constructing spherical designs by lifting point sets from tight fusion frames. By combining existing ingredients, we…

math.CO2026

Constructing spherical designs using tight $t$ -fusion frames

Ryutaro Misawa

In this paper, we study conditions under which a finite subset $Z$ of the unit sphere $S^{d - 1} \subset R^{d}$ becomes a spherical $t$ -design, when $Z$ is constructed by the…

math.CO2026

Antipodality of spherical designs with odd harmonic indices

Ryutaro Misawa, Akihiro Munemasa, Masanori Sawa

We determine the smallest size of a non-antipodal spherical design with harmonic indices ${1, 3, \dots, 2 m - 1}$ to be $2 m + 1$ , where $m$ is a positive integer. This is achieved by pro…

Spherical Designs with Infinite Harmonic Strength

Spherical Designs on S1 of Finite Harmonic Strength

Explicit construction of spherical 5- and 7-designs

Constructing spherical designs using tight t-fusion frames

Antipodality of spherical designs with odd harmonic indices

Spherical Designs on $S^{1}$ of Finite Harmonic Strength

Explicit construction of spherical $5$ - and $7$ -designs

Constructing spherical designs using tight $t$ -fusion frames