Sobolev orthogonal polynomials: Darboux transformations and integrable systems
Manuel Manas (Universidad Complutense de Madrid)
Tuesday 14th January, 2020 16:00-17:00 Maths 311B
Using the LU factorization of the semi-infinite Grammian matrix corresponding to a Sobolev bilinear form we discuss Christoffel formulas for the biorthogonal polynomials with respect to the mentioned bilinear form and perturbations of Christoffel and Geronimus type.
We also consider continuous deformations that leads to the connection to the Toda/KP hierarchy.