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Sibirskii Matematicheskii Zhurnal, 2016, Volume 57, Number 2, Pages 312–331
DOI: https://doi.org/10.17377/smzh.2016.57.207 (Mi smj2746) 		 
The real analog of the Jacobi inversion problem on a Riemann surface with boundary, its generalizations, and applications

E. I. Zverovicha, O. B. Dolgopolovaa, E. A. Krushevskiĭb

a Belarusian State University, Minsk, Belarus
b Belarusian National Technical University, Minsk, Belarus
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DOI: https://doi.org/10.17377/smzh.2016.57.207
Abstract: Given a finite Riemann surface of genus $h\ge1$ with boundary composed of $m+1$ connected components we consider a system of $m+h$ real congruences analogous to the classical Jacobi inversion problem. We provide a solution to this system and its applications to boundary value problems.
Keywords: Riemann surface, Jacobi inversion problem, Abelian differential, Riemann conjugation problem, Hilbert problem, Riemann theta-function, double, Cauchy-type kernel.
Received: 23.12.2014
English version:
Siberian Mathematical Journal, 2016, Volume 57, Issue 2, Pages 242–259
DOI: https://doi.org/10.1134/S0037446616020075
Bibliographic databases:
Document Type: Article
UDC: 517.948.32+517.544
Language: Russian
Citation: E. I. Zverovich, O. B. Dolgopolova, E. A. Krushevskiǐ, “The real analog of the Jacobi inversion problem on a Riemann surface with boundary, its generalizations, and applications”, Sibirsk. Mat. Zh., 57:2 (2016), 312–331; Siberian Math. J., 57:2 (2016), 242–259
Citation in format AMSBIB
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    		Сибирский математический журнал Siberian Mathematical Journal
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