Szegö's theorem on Parreau-Widom sets

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Szegö's theorem on Parreau-Widom sets. / Christiansen, Jacob Stordal.

I: Advances in Mathematics, Bind 229, Nr. 2, 2012, s. 1180-1204.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Christiansen, JS 2012, 'Szegö's theorem on Parreau-Widom sets', Advances in Mathematics, bind 229, nr. 2, s. 1180-1204. https://doi.org/10.1016/j.aim.2011.09.012

APA

Christiansen, J. S. (2012). Szegö's theorem on Parreau-Widom sets. Advances in Mathematics, 229(2), 1180-1204. https://doi.org/10.1016/j.aim.2011.09.012

Vancouver

Christiansen JS. Szegö's theorem on Parreau-Widom sets. Advances in Mathematics. 2012;229(2):1180-1204. https://doi.org/10.1016/j.aim.2011.09.012

Author

Christiansen, Jacob Stordal. / Szegö's theorem on Parreau-Widom sets. I: Advances in Mathematics. 2012 ; Bind 229, Nr. 2. s. 1180-1204.

Bibtex

@article{3eb057452bb1416dbc08935ee2fc78f8,
title = "Szeg{\"o}'s theorem on Parreau-Widom sets",
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.",
keywords = "Faculty of Science, Mathematics",
author = "Christiansen, {Jacob Stordal}",
year = "2012",
doi = "10.1016/j.aim.2011.09.012",
language = "English",
volume = "229",
pages = "1180--1204",
journal = "Advances in Mathematics",
issn = "0001-8708",
publisher = "Academic Press",
number = "2",

}

RIS

TY - JOUR

T1 - Szegö's theorem on Parreau-Widom sets

AU - Christiansen, Jacob Stordal

PY - 2012

Y1 - 2012

N2 - 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.

AB - 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.

KW - Faculty of Science

KW - Mathematics

U2 - 10.1016/j.aim.2011.09.012

DO - 10.1016/j.aim.2011.09.012

M3 - Journal article

VL - 229

SP - 1180

EP - 1204

JO - Advances in Mathematics

JF - Advances in Mathematics

SN - 0001-8708

IS - 2

ER -

ID: 35345929