Orthogonal polynomials and diffusions operators
Résumé
We want to describe the triplets (\Omega, (g), \mu) where (g) is the (co)metric associated to some symmetric second order differential operator L defined on the domain \Omega of R^d and such that L is expandable on a basis of orthogonal polynomials of L_2(\mu), and \mu is some admissible measure. Up to affine transformation, we find 11 compact domains in dimension 2, and also give some non--compact cases in this dimension.
Domaines
Probabilités [math.PR]
Origine : Fichiers produits par l'(les) auteur(s)
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