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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
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
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
Linking options:
https://www.mathnet.ru/eng/smj2746 https://www.mathnet.ru/eng/smj/v57/i2/p312
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Abstract page: | 286 | Full-text PDF : | 87 | References: | 67 | First page: | 5 |
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