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math.CA2017
Randomized Verblunsky Parameters in Steklov's Problem
Keith Rush
We consider randomized Verblunsky parameters for orthogonal polynomials on the unit circle as they relate to the problem of Steklov, bounding the polynomials' uniform norm independ…
math.CA2016
On Schur parameters in Steklov's problem
S. Denisov, K. Rush
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 Stekl…
math.CA2016★ 1 cited
Orthogonal polynomials on the circle for the weight w satisfying conditions: w,1/w in BMO(T)
S. Denisov, K. Rush
In the case when the weight and its inverse belong to BMO(T), we prove the asymptotics of the monic orthogonal polynomials in L^p, 2<p<p_0. Immediate applications include the estim…