Polynomial functions on the classical projective spaces

Yu. I. Lyubich; O. A. Shatalova

Studia Mathematica, Tome 166 (2005), p. 77-87 / Harvested from The Polish Digital Mathematics Library

Résumé

The polynomial functions on a projective space over a field = ℝ, ℂ or ℍ come from the corresponding sphere via the Hopf fibration. The main theorem states that every polynomial function ϕ(x) of degree d is a linear combination of “elementary” functions ${| ⟨ x, \cdot ⟩ |}^{d}$ .

Publié le : 2005-01-01

Zbl 1081.46012

EUDML-ID : urn:eudml:doc:286691

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Yu. I. Lyubich; O. A. Shatalova. Polynomial functions on the classical projective spaces. Studia Mathematica, Tome 166 (2005) pp. 77-87. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm170-1-4/