Open Access
April 2012 Polynomial hulls and proper analytic disks
Armen Edigarian
Author Affiliations +
Ark. Mat. 50(1): 59-67 (April 2012). DOI: 10.1007/s11512-010-0142-0


We show how to construct the Perron–Bremermann function by using proper analytic disks. We apply this result to the polynomial hull of a compact set K defined on the boundary of the unit ball.

Funding Statement

The paper was supported in part by the Polish Ministry of Science and Higher Education Grant No. N N201 361436.


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Armen Edigarian. "Polynomial hulls and proper analytic disks." Ark. Mat. 50 (1) 59 - 67, April 2012.


Received: 28 December 2009; Revised: 9 September 2010; Published: April 2012
First available in Project Euclid: 31 January 2017

zbMATH: 1254.32014
MathSciNet: MR2890344
Digital Object Identifier: 10.1007/s11512-010-0142-0

Rights: 2011 © Institut Mittag-Leffler

Vol.50 • No. 1 • April 2012
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