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| Content Provider | Springer Nature Link |
|---|---|
| Author | Zverovich, Edmund I. |
| Copyright Year | 2008 |
| Abstract | In this paper, we present a general solution of the scalar Riemann problem on a closed Riemann surface in the case of a compound contour in the class of piecewise meromorphic functions multiple of a given divisor. All the results are known and belong to the author [15–17], except for the existence theorems and properties of basic functionals and also properties of a θ-function. The solution of the problem in a ‘special case’ has been announced by the author but not published [15]. Similar problems and some applications are considered in [1, 2, 12].The main results of the paper were obtained by the author during his collaboration with Professor G. S. Litvinchuk, and this paper is devoted to his cherished memory. |
| Starting Page | 709 |
| Ending Page | 732 |
| Page Count | 24 |
| File Format | |
| ISSN | 16618254 |
| Journal | Complex Analysis and Operator Theory |
| Volume Number | 2 |
| Issue Number | 4 |
| e-ISSN | 16618262 |
| Language | English |
| Publisher | SP Birkhäuser Verlag Basel |
| Publisher Date | 2008-09-30 |
| Publisher Place | Basel |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Riemann surface problem of linear conjugation special case compound contour divisor canonical dissection Abelian differentials discontinuous analogue of the Cauchy kernel meromorphic analogue of the Cauchy kernel Jacobi inversion problem Boundary value problems Compact Riemann surfaces and uniformization Integral equations with kernels of Cauchy type Analysis Operator Theory Mathematics |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Computational Theory and Mathematics Computational Mathematics |
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