Article ID Journal Published Year Pages File Type
6426019 Advances in Mathematics 2012 25 Pages PDF
Abstract

In this paper, we generalize Szegő's theorem for orthogonal polynomials on the real line to infinite gap sets of Parreau-Widom type. This notion includes Cantor sets of positive measure. The Szegő condition involves the equilibrium measure which in turn is absolutely continuous. Our approach builds on a canonical factorization of the M-function and the covering space formalism of Sodin-Yuditskii.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)
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