Geodesic
Hilbert boundary-value problem for a class of singular matrix-functions
Matematičeskie zametki, Tome 15 (1974) no. 4, pp. 587-594 Cet article a éte moissonné depuis la source Math-Net.Ru

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We present a statement and a solution of a Hilbert boundary-value problem for $n\times n$ matrix-functions, the singularity of which is characterized by a given integral $n\times n$ matrix. For the homogeneous problem we find solvability conditions and the number of linearly independent solutions; for the nonhomogeneous problem we find conditions of solvability and the number of these solutions. We make essential use of the standard left factorization of the coefficient of the problem. 
@article{MZM_1974_15_4_a9,
     author = {A. L. Lukov},
     title = {Hilbert boundary-value problem for a~class of singular matrix-functions},
     journal = {Matemati\v{c}eskie zametki},
     pages = {587--594},
     year = {1974},
     volume = {15},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1974_15_4_a9/}
}
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A. L. Lukov. Hilbert boundary-value problem for a class of singular matrix-functions. Matematičeskie zametki, Tome 15 (1974) no. 4, pp. 587-594. http://geodesic.mathdoc.fr/item/MZM_1974_15_4_a9/