Ukrainian Mathematical Journal

, Volume 36, Issue 2, pp 225–230 | Cite as

Partial indices of a matrix Riemann problem on the torus

  • I. Yu. Dmitrieva
  • V. E. Kruglov
Brief Communications


Riemann Problem Partial Index Matrix Riemann Problem 
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Literature cited

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    V. E. Kruglov, “Abelian differentials and the equation of a surface defined by a cyclic group of permutations,” Soobshch. Akad. Nauk Gruz. SSR,92, No. 3, 537–540 (1978).Google Scholar
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    V. E. Kruglov, “Partial indices and an application of factorization of certain matrices of permutation type of order no higher than the fourth,” VINITI, No. 3278-82 Dep.Google Scholar
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    V. E. Kruglov, “Partial indices, Abelian differentials of the first kind and the equation of a surface defined by a finite Abelian group of permutations,” Sib. Mat. Zh., 22, No. 6, 87–101 (1981).Google Scholar
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    É. I. Zverovich, “Boundary problems of the theory of analytic functions in Hölder classes on Riemann surfaces,” Usp. Mat. Nauk,26, No. 1 (157), 113–179 (1971).Google Scholar
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    É. I. Zverovich, “Behnke-Stein kernel and solution in closed form of the Riemann boundary problem on a torus,” Dokl. Akad. Nauk SSSR,188, No. 1, 27–30 (1969).Google Scholar
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    F. D. Gakhov, Boundary Value Problems, Pergamon (1966).Google Scholar
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    N. P. Vekua, Systems of Singlar Integral Equations, Gordan and Breach (1967).Google Scholar
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    M. Abramovits and I. Stigan (eds.), Handbook on Special Functions [in Russian], Nauka, Moscow (1979).Google Scholar

Copyright information

© Plenum Publishing Corporation 1984

Authors and Affiliations

  • I. Yu. Dmitrieva
    • 1
  • V. E. Kruglov
    • 1
  1. 1.Odessa State UniversityUSSR

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