Geodesic
A~boundary value problem of linear conjugation in the theory of functions
Izvestiya. Mathematics , Tome 14 (1980) no. 1, pp. 175-192

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The matrix case of a boundary value problem of linear conjugation in the theory of analytic functions, for arbitrary piecewise smooth curves, is treated, as is the corresponding adjoint problem. For these problems Noetherian theorems are proved, a family of canonical functions is constructed, and the behavior of these solutions at corner points of the curve is described. Bibliography: 9 titles. 
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     title = {A~boundary value problem of linear conjugation in the theory of functions},
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A. P. Soldatov. A~boundary value problem of linear conjugation in the theory of functions. Izvestiya. Mathematics , Tome 14 (1980) no. 1, pp. 175-192. http://geodesic.mathdoc.fr/item/IM2_1980_14_1_a7/