%0 Journal Article %A I. A. Martyanov %T Solving the Delsarte problem for $4$-designs on the sphere $\mathbb{S}^{2}$ %J Čebyševskij sbornik %D 2021 %P 154-165 %V 22 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/CHEB_2021_22_3_a10/ %G ru %F CHEB_2021_22_3_a10