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摘要
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.
- 出版日期2012-4
