An Introduction to Orthogonal Polynomials on the Unit Circle
主讲人: Rostyslav Kozhan (Uppsala University)
活动时间: 从 2026-03-30 10:00 到 11:00
场地: 北京国际数学研究中心,全斋全29教室
In this talk, I will give an introduction to orthogonal polynomials on the unit circle from a spectral-theoretic perspective, including the Szegő recurrence and Verblunsky coefficients, the associated CMV matrix, the Christoffel-Darboux kernel, paraorthogonal polynomials, and asymptotic properties of the polynomials and their zeros. Time permitting, I will also touch on Szegő and strong Szegő theorems, connections to Toeplitz determinants, applications in approximation theory and random matrix theory, and recent developments related to multiple orthogonality.
