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Sbornik: Mathematics, 2011, Volume 202, Issue 12, Pages 1831–1852
DOI: https://doi.org/10.1070/SM2011v202n12ABEH004209 (Mi sm7854) 		 
This article is cited in 28 scientific papers (total in 28 papers)

Variation of the equilibrium energy and the $S$-property of stationary compact sets

A. Martínez-Finkelshteina, E. A. Rakhmanovbc, S. P. Suetinb

a University of Almeria, Spain
b Steklov Mathematical Institute, Russian Academy of Sciences
c University of South Florida, USA
English version PDF (435 kB) Citations (28) Russian version article
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DOI: https://doi.org/10.1070/SM2011v202n12ABEH004209
Abstract: This paper studies a variation of the equilibrium energy for a certain fairly general functional which appears naturally in the solution of many rational approximation problems of multi-valued analytic functions.
The main result of this work states that for the energy functional under consideration and a certain class of admissible compact sets, related to the function to be approximated, the corresponding stationary compact set is fully characterized by the so-called $S$-property.
Bibliography: 38 titles.
Keywords: rational approximation, orthogonal polynomials, Padé approximants, equilibrium distributions, stationary compact set, $S$-property.
Received: 14.02.2011 and 29.09.2011
Bibliographic databases:
Document Type: Article
UDC: 517.53
MSC: 31A15
Language: English
Original paper language: Russian
Citation: A. Martínez-Finkelshtein, E. A. Rakhmanov, S. P. Suetin, “Variation of the equilibrium energy and the $S$-property of stationary compact sets”, Sb. Math., 202:12 (2011), 1831–1852
Citation in format AMSBIB
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\paper Variation of the equilibrium energy and the $S$-property of stationary compact sets
\jour Sb. Math.
\yr 2011
\vol 202
\issue 12
\pages 1831--1852
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    • This publication is cited in the following 28 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:71
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