Roman Bessonov: From local to global asymptotic behavior of orthogonal polynomials

V torek, 19. maja ob 12. uri in 30 minut, bo v okviru seminarja za kompleksno analizo predavanje

Roman Bessonov: From local to global asymptotic behavior of orthogonal polynomials.

Abstract: A classical result by Mate, Nevai, and Totik (1991) describes the averaged asymptotic behavior of modules of orthogonal polynomials at almost every point z of the unit circle T provided the measure of orthogonality belongs to the Szego class. I will present a "global" version of this asymptotic relation that works at almost every Stolz angle. The proof uses three ingredients: Schur functions viewpoint, Khrushchev formula, and the entropy function of a measure. Recently, all of them have found interesting applications in diverse areas. The talk could be considered as an illustration of their use. Joint work with Artur Nicolau (Universitat Autonoma de Barcelona).

Predavanje bo potekalo hibridno, v predavalnici 3.05 na Jadranski 21 in preko aplikacije Zoom:

https://uni-lj-si.zoom.us/j/93433347588

Meeting ID: 934 3334 7588

Vljudno vabljeni!

Vodji seminarja

Franc Forstneric in Barbara Drinovec Drnovsek