3 citations · 3 across the 4 of their papers we have counts for
5 papers
Spherical designs for finite quaternionic unit groups and their applications to modular forms
Masatake Hirao, Hiroshi Nozaki, Koji Tasaka
For a finite subset of the -dimensional unit sphere, the harmonic strength of is the set of such that for all harmonic…
More on the corner-vector construction for spherical designs
Kenji Tanino, Tomoki Tamaru, Masatake Hirao +1
This paper explores a full generalization of the classical corner-vector method for constructing weighted spherical designs, which we call the {\it generalized corner-vector method…
Spherical designs and modular forms of the lattice
Masatake Hirao, Hiroshi Nozaki, Koji Tasaka
In this paper, we study shells of the lattice with a {slight generalization} of spherical -designs due to Delsarte-Goethals-Seidel, namely, the spherical design of harmoni…
Finite frames, frame potentials and determinantal point processes on the sphere
Masatake Hirao
Herein, we address the expectations of frame potentials of three types of determinantal point processes(DPPs) on the d-dimensional unit sphere: (i) spherical ensembles on the 2-dim…
A new approach for the existence problem of minimal cubature formulas based on the Larman-Rogers-Seidel theorem
Masatake Hirao, Hiroshi Nozaki, Masanori Sawa +1
In this paper we consider the existence problem of cubature formulas of degree 4k+1 for spherically symmetric integrals for which the equality holds in the Möller lower bound. We p…