Szegö's theorem on Parreau-Widom sets

Jacob Stordal Christiansen

doi:10.1016/j.aim.2011.09.012

Szegö's theorem on Parreau-Widom sets

Jacob Stordal Christiansen

Institut for Matematiske Fag

17 Citationer (Scopus)

Abstract

In this paper, we generalize Szego'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 Szego 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.

Originalsprog	Engelsk
Tidsskrift	Advances in Mathematics
Vol/bind	229
Udgave nummer	2
Sider (fra-til)	1180-1204
Antal sider	25
ISSN	0001-8708
DOI	https://doi.org/10.1016/j.aim.2011.09.012
Status	Udgivet - 2012

Emneord

Det Natur- og Biovidenskabelige Fakultet
Mathematics

Adgang til dokumentet

10.1016/j.aim.2011.09.012

Citationsformater

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