A recursive construction of projective cubature formulas and related isometric embeddings Academic Article uri icon


  • A recursive construction is presented for the projective cubature formulas of index $p$ on the unit spheres $S(m,K)subset K^m$ where $K$ is $R$ or $C$, or $H$. This yields a lot of new upper bounds for the minimal number of nodes $n=N_K(m,p)$ in such formulas or, equivalently, for the minimal $n$ such that there exists an isometric embedding $ell_{2; K}^m
    ightarrow ell_{p; K}^n$.

altmetric score

  • 0.75

author list (cited authors)

  • Lyubich, Y. I., & Shatalova, O. A.

citation count

  • 0

complete list of authors

  • Lyubich, Yuri I||Shatalova, Oksana A

publication date

  • October 2013