Szegő's theorem on Parreau−Widom sets
Författare
Summary, in English
In this paper, we generalize Szegőʼs 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.
Publiceringsår
2012
Språk
Engelska
Sidor
1180-1204
Publikation/Tidskrift/Serie
Advances in Mathematics
Volym
229
Issue
2
Länkar
Dokumenttyp
Artikel i tidskrift
Förlag
Elsevier
Ämne
- Mathematics
Nyckelord
- Szegő integral
- Eigenvalue sums
- Parreau–Widom sets
Status
Published
ISBN/ISSN/Övrigt
- ISSN: 0001-8708