Geodesic
On a proof of the method of semi-inversion of matrix operators in diffraction problems
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 6, pp. 1381-1391

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The basic questions are considered, that arise when justifying the solutions obtained by the method of partial inversion of matrix operators, in problems of diffraction at periodic and waveguide irregularities. 
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     title = {On a proof of the method of semi-inversion of matrix operators in diffraction problems},
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Yu. K. Sirenko. On a proof of the method of semi-inversion of matrix operators in diffraction problems. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 6, pp. 1381-1391. http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_6_a8/