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تسجيل مستخدم جديدAsymptotic behavior of the Verblunsky coefficients for the OPUC with a varying weight
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تأليف
Mihail Poplavskyi
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We present an asymptotic analysis of the Verblunsky coefficients for the polynomials orthogonal on the unit circle with the varying weight $e^{-nV(cos x)}$, assuming that the potential $V$ has four bounded derivatives on $[-1,1]$ and the equilibrium measure has a one interval support. We obtain the asymptotics as a solution of the system of string equations.
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