On Schur parameters in Steklov's problem

2016/06/14 by Sergey A. Denisov, Keith Rush, Denisov, S. +1
Mathematics · #33C45 #Advanced Algebra and Geometry #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical functions and polynomials #Random Matrices and Applications

paper · pdf · doi:10.48550/arxiv.1606.04571

openalex publication_date 2016/06/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the recursion (aka Schur) parameters for monic polynomials orthogonal on the unit circle with respect to a weight which provides negative answer to the conjecture of Steklov.

Related

• Schur functions and orthogonal polynomials on the unit circle
• Remark on the formula by Rakhmanov and Steklov's conjecture
• Orthogonal polynomials on the circle for the weight w satisfying conditions: w,1/w in BMO(T)
• Five-diagonal matrices and zeros of orthogonal polynomials on the unit circle
• Orthogonal polynomials on the unit circle: New results