Polynomial functions on the classical projective spaces
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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.