Orthogonal polynomials in two variables (Stepan Orevkov, Moscow, Toulouse)

19.11.2018 16:15 – 17:15

A natural generalization of classical systems of (one-variable) orthogonal polynomials is as follows.
Let $D$ be a domain in $R^n$ endowed with a Riemannian metric and a mesure. Suppose that the Laplace-Beltrami operator (for the given metric) is symmetric (for the given mesure) and leave invariant the set of polynomials of a given degree. Then its eigenfunctions is a system of orthogonal polynomials.
I present a complete classification of domains in $R2$ for which this construction can be applied.
The talk is based on a joint work with D. Bakry and M. Zani.

Lieu

Bâtiment: Battelle

Séminaire "Fables géométriques "

entrée libre