Boundary value problems of the theory of analytic functions on Riemann surfaces
Itogi nauki i tehniki. Seriâ, Matematičeskij analiz, Itogi Nauki i Tekhniki. Seriya "Matematicheskii Analiz", Tome 18 (1980), pp. 3-66
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The survey includes papers reviewed in RZh “Matematika” from 1954–1979. We consider the Riemann boundary problem on a compact Riemann surface and in the class of piecewise-meromorphic automorphic functions; singular integral equations with automorphic kernels and in the form of Abelian integrals; the method of symmetry in solving the problems of Hilbert (linear and nonlinear), Schwarz, Carleman, etc., in the case of a Riemann surface with boundary and in the case of a planar domain, bounded by an algebraic curve; and boundary problems on open Riemann surfaces.
@article{INTM_1980_18_a0,
author = {L. I. Chibrikova},
title = {Boundary value problems of the theory of analytic functions on {Riemann} surfaces},
journal = {Itogi nauki i tehniki. Seri\^a, Matemati\v{c}eskij analiz},
pages = {3--66},
year = {1980},
volume = {18},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/INTM_1980_18_a0/}
}
L. I. Chibrikova. Boundary value problems of the theory of analytic functions on Riemann surfaces. Itogi nauki i tehniki. Seriâ, Matematičeskij analiz, Itogi Nauki i Tekhniki. Seriya "Matematicheskii Analiz", Tome 18 (1980), pp. 3-66. http://geodesic.mathdoc.fr/item/INTM_1980_18_a0/