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- W2950245002 abstract "We consider probability measures, $dmu=w(theta) f{dtheta}{2pi} +dmu_s$, on the unit circle, $partialbbD$, with Verblunsky coefficients, ${alpha_j}_{j=0}^infty$. We prove for $theta_1neqtheta_2$ in $[0,2pi)$ and $(deltabeta)_j=beta_{j+1}$ that [ int [1-cos(theta-theta_1)][1-cos(theta-theta_2)] log w(theta) f{dtheta}{2pi} >-infty ] if and only if [ sum_{j=0}^infty bigl|bigl{(delta -e^{-itheta_2}) (delta -e^{-itheta_1}) alphabigr}_jbigr|^2 +abs{alpha_j}^4 -infty ] if and only if [ sum_{j=0}^infty abs{alpha_{j+2}-2alpha_{j+1} +alpha_j}^2 + abs{alpha_j}^6 <infty ]" @default.
- W2950245002 created "2019-06-27" @default.
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- W2950245002 date "2004-09-23" @default.
- W2950245002 modified "2023-10-16" @default.
- W2950245002 title "Higher-Order Szego Theorems With Two Singular Points" @default.
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