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On the asymptotics of polynomials orthogonal on a system of curves with respect to a measure with discrete part

On the asymptotics of polynomials orthogonal on a system of curves with respect to a measure with discrete part

Consider an absolutely continuous measure on a system of Jordan arcs and (closed) curves in the complex plane, assuming that this measure satisfies the Szegő condition on its support and that the support of the measure is the boundary of some (multiply connected) domain $\Omega$ containing infinity. Adding to the …