Geodesic
A method for constructing a canonical matrix of solutions of a Hilbert problem arising in the solution of convolution equations on a finite interval
Izvestiya. Mathematics, Tome 19 (1982) no. 3, pp. 559-610 
B. V. Pal'tsev. A method for constructing a canonical matrix of solutions of a Hilbert problem arising in the solution of convolution equations on a finite interval. Izvestiya. Mathematics, Tome 19 (1982) no. 3, pp. 559-610. http://geodesic.mathdoc.fr/item/IM2_1982_19_3_a4/
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The Hilbert boundary value problem corresponding to a convolution equation on a finite interval, with kernel belonging to a class singled out earlier by the author, is reduced to a system of integral equations. The solvability of this system in appropriate weighted spaces is studied and an algorithm for constructing a canonical matrix of solutions of the Hilbert problem from certain solutions of the system. Estimates of partial indices are given. Bibliography: 15 titles.

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[7] Khvedelidze B. V., “Metod integralov tipa Koshi v razryvnykh granichnykh zadachakh teorii golomorfnykh funktsii odnoi kompleksnoi peremennoi”, Itogi nauki i tekhniki. Ser. Sovremennye problemy matematiki, 7, 1975, 5–162

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