Seminário de Teoria de Operadores, Análise Complexa e Aplicações 

06/11/2013, 15:00 — 16:00 — Sala P3.10, Pavilhão de Matemática
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.