Polynomial functions on the classical projective spaces Academic Article uri icon

abstract

  • The polynomial functions on a projective space over a field double-struck K sign = ℝ, ℂ or ℍ come from the corresponding sphere via the Hopf fibration. The main theorem states that every polynomial function ø(x) of degree d is a linear combination of "elementary" functions |〈x, ·〉|d.

author list (cited authors)

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

citation count

  • 2

publication date

  • January 2005