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Izvestiya: Mathematics, 1999, Volume 63, Issue 2, Pages 331–366
DOI: https://doi.org/10.1070/im1999v063n02ABEH000236 (Mi im236) 		 
A criterion for the uniqueness of supports of analytic functionals in the class of $n$-circular convex compact sets

A. S. Krivosheev

Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
English version PDF (643 kB) Russian version article
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DOI: https://doi.org/10.1070/im1999v063n02ABEH000236
Abstract: In this paper we give necessary and sufficient conditions for an $n$-circular convex compact set $K\subset\mathbb C^n$ to have the following uniqueness property: $K$ is the unique convex support for every analytic functional which has $K$ as a support.
Received: 17.01.1994
Revised: 02.04.1998
Bibliographic databases:
MSC: 46F15, 32F05
Language: English
Original paper language: Russian
Citation: A. S. Krivosheev, “A criterion for the uniqueness of supports of analytic functionals in the class of $n$-circular convex compact sets”, Izv. Math., 63:2 (1999), 331–366
Citation in format AMSBIB
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\by A.~S.~Krivosheev
\paper A~criterion for the uniqueness of supports of analytic functionals in the class of $n$-circular convex compact sets
\jour Izv. Math.
\yr 1999
\vol 63
\issue 2
\pages 331--366
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Russian version PDF:172
    English version PDF:16
    References:69
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