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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2019, Volume 306, Pages 313–351
DOI: https://doi.org/10.4213/tm4007 (Mi tm4007) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Equilibrium Measures on a Compact Riemann Surface

E. M. Chirka

Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
Full-text PDF (488 kB) Citations (7)
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DOI: https://doi.org/10.4213/tm4007
Abstract: Various notions of energy are introduced for charges on a compact Riemann surface that generalize the corresponding notions of logarithmic potential theory in the complex plane. Standard properties of the corresponding equilibrium measures are proved both in the case of measures supported on a given compact set and in the case of measures with arbitrary supports.
Received: September 24, 2018
Revised: March 4, 2019
Accepted: June 14, 2019
English version:
Proceedings of the Steklov Institute of Mathematics, 2019, Volume 306, Pages 296–334
DOI: https://doi.org/10.1134/S0081543819050249
Bibliographic databases:
Document Type: Article
UDC: 517.544+517.574+517.956.224
Language: Russian
Citation: E. M. Chirka, “Equilibrium Measures on a Compact Riemann Surface”, Mathematical physics and applications, Collected papers. In commemoration of the 95th anniversary of Academician Vasilii Sergeevich Vladimirov, Trudy Mat. Inst. Steklova, 306, Steklov Math. Inst. RAS, Moscow, 2019, 313–351; Proc. Steklov Inst. Math., 306 (2019), 296–334
Citation in format AMSBIB
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\bookinfo Collected papers. In commemoration of the 95th anniversary of Academician Vasilii Sergeevich Vladimirov
\serial Trudy Mat. Inst. Steklova
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\vol 306
\pages 313--351
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\publaddr Moscow
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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