This is a preview of subscription content, log in via an institution to check access.
Literature cited
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).
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.
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).
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).
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).
F. D. Gakhov, Boundary Value Problems, Pergamon (1966).
N. P. Vekua, Systems of Singlar Integral Equations, Gordan and Breach (1967).
M. Abramovits and I. Stigan (eds.), Handbook on Special Functions [in Russian], Nauka, Moscow (1979).
Author information
Authors and Affiliations
Additional information
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 36, No. 2, pp. 247–252, March–April, 1984.
Rights and permissions
About this article
Cite this article
Dmitrieva, I.Y., Kruglov, V.E. Partial indices of a matrix Riemann problem on the torus. Ukr Math J 36, 225–230 (1984). https://doi.org/10.1007/BF01066960
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01066960