Geodesic
Some classical problems in the theory of analytic functions in domains of Parreau--Widom type
Sbornik. Mathematics, Tome 73 (1992) no. 1, pp. 273-288

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Domains and Riemann surfaces of Parreau–Widom type are considered, along with the extension to these domains of classical results on the Hardy spaces $H^p$ and on representing measures and orthogonal measures (the theorems of the Riesz brothers), and so on. 
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     title = {Some classical problems in the theory of analytic functions in domains of {Parreau--Widom} type},
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M. V. Samokhin. Some classical problems in the theory of analytic functions in domains of Parreau--Widom type. Sbornik. Mathematics, Tome 73 (1992) no. 1, pp. 273-288. http://geodesic.mathdoc.fr/item/SM_1992_73_1_a14/