06/11/2013, 15:00 — 16:00 — Room P3.10, Mathematics Building
Sergey Naboko, University of Kent and St.Petersburg State University
Spectral analysis of Jacobi Matrices and asymptotic properties of
orthogonal polynomials
We review basic features of the spectral theory of Hermitian Jacobi
operators. The analysis is based on asymptotic properties of the
related orthogonal polynomials at infinity for fixed spectral
parameter. We discuss various examples of bounded and unbounded
Jacobi matrices. This talk is meant to give an introduction to the
theory of Jacobi matrices and orthogonal polynomials.