Factorization of matrices depending on a~parameter, and elliptic equations in a~halfspace
Sbornik. Mathematics, Tome 14 (1971) no. 1, pp. 65-84

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In this paper we prove the theorem that every matrix-function on the circle depending on a parameter admits a triangular factorization which is continuous in the parameter. Using this theorem, we manage to construct explicitly a regularizer of the boundary value problem for an elliptic system of pseudo-differential equations in a halfspace. Figures: 8. Bibliography: 16 titles.
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     title = {Factorization of matrices depending on a~parameter, and elliptic equations in a~halfspace},
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M. A. Shubin. Factorization of matrices depending on a~parameter, and elliptic equations in a~halfspace. Sbornik. Mathematics, Tome 14 (1971) no. 1, pp. 65-84. http://geodesic.mathdoc.fr/item/SM_1971_14_1_a3/