Évènement

Anna Kononova
Saint Petersburg State University, Russia
https://scholar.google.co.uk/citations?user=yu9kaQkAAAAJ&hl=en

Date(s) : 20/11/2017   iCal
10h00 - 11h00

Consider a system of mutually disjoint Jordan curves E:= ∪_j=1ⁿE_j ⊂ ℂ. We will discuss some problems concerning the ratio asymptotics of the orthogonal polynomials for Szegö measures supported by E. More precisely, let μ be such a measure, and suppose that we perturb the measure μ by adding a finite number of point masses outside of E or by multiplying the weight function by some factor. The following question is addressed: what can be said about the influence of such kind of perturbation on the ratio asymptotics of the corresponding orthogonal polynomials? Note that in case E ⊂ the question about stability of the ratio asymptotics can be reduced to the study of compactness for perturbations of the corresponding Jacobi operator.

https://www.researchgate.net/profile/Anna-Kononova

Catégories

• Séminaire