Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6426019 | Advances in Mathematics | 2012 | 25 Pages |
Abstract
In this paper, we generalize SzegÅ'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 SzegÅ 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)
Authors
Jacob S. Christiansen,