A disintegration of the christoffel function

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    The aim of this note is to provide a similar disintegration (or factorization) for the family of its µ Christoffel functions (x, y) 7→ Λt (x, y), t ∈ N. ISSN (electronic): 1778-3569 Jean B. Lasserre Contribution. Λt x,t ) is the Christoffel function of the marginal φ of µ on X (resp. of some probability measure νx,t on R, given x ∈ X). At least in dimension n=2 or n=3, one may visualize this property even for small t, as the resulting superlevel sets φ Ωγ:={ x: Λt (x) ≥ γ }, γ ∈ R, capture the shape of Ω quite well . . .

     

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