Serguei Denissov, University of WisconsinMadison

Title: On a problem by Steklov. 
Abstract: In 1921, Steklov made a conjecture that the polynomials orthonormal on a segment with respect to a weight bounded away from zero are uniformly bounded for every interior point of that segment. This conjecture was disproved by Rahmanov in 1979 but the sharp estimates on the polynomials from the Steklov class were still missing. We will discuss some recent results (joint with Aptekarev and Tulyakov) in which the full solution to the problem by Steklov was obtained.
