Arkiv för Matematik

Polynomial hulls and proper analytic disks

Armen Edigarian

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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.


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

Article information

Ark. Mat., Volume 50, Number 1 (2012), 59-67.

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

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2011 © Institut Mittag-Leffler


Edigarian, Armen. Polynomial hulls and proper analytic disks. Ark. Mat. 50 (2012), no. 1, 59--67. doi:10.1007/s11512-010-0142-0.

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