Resumen de Characterization of ɳ-independent sets with no more than 3ɳ points

H. Hakopian, A. Malinyan

• Let Πn denote the space of all bivariate polynomials of total degree not exceeding n. We study the n-independence of point sets. These sets X are characterized by the fact that the dimension of the space PX = {p ∈ Πn : p(x) = 0, ∀x ∈ X } equals dim Πn − #X . Besides, polynomial interpolation of degree n is solvable only with these sets. Moreover, the n-independent sets are exactly the subsets of Πn-poised sets. In this paper we characterize all n-independent sets with no more than 3n points.