Geodesic
On the inversion and on the spectrum of Wiener–Hopf matrix operators
Sbornik. Mathematics, Tome 20 (1973) no. 2, pp. 267-281 
G. Khainig. On the inversion and on the spectrum of Wiener–Hopf matrix operators. Sbornik. Mathematics, Tome 20 (1973) no. 2, pp. 267-281. http://geodesic.mathdoc.fr/item/SM_1973_20_2_a4/
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     title = {On~the inversion and on the spectrum of {Wiener{\textendash}Hopf} matrix operators},
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Voir la notice de l'article provenant de la source Math-Net.Ru

A new method is presented for inverting and studying Weiner–Hopf matrix operators in the case when the symbol of the operator has a power series expansion that terminates in one direction or the other, and a criterion is found for (right, left, two-sided) invertibility of operators that do not involve partial indices. Using this method a new spectral property of some operator bundles is found, and necessary and sufficient conditions for the applicability of the method of reduction are established. Bibliography: 6 titles.

[1] I. Ts. Gokhberg, I. A. Feldman, Uravneniya v svertkakh i proektsionnye metody ikh resheniya, izd-vo «Nauka», Moskva, 1971 | MR

[2] I. Ts. Gokhberg, M. G. Krein, “Sistemy integralnykh uravnenii na polupryamoi s yadrami, zavisyaschimi ot raznosti argumentov”, Uspekhi matem. nauk, XIII:2 (85) (1958), 3–72

[3] G. Khainig, “Obraschenie yakobievykh periodicheskikh matrits”, Matem. issl., VIII:1 (27) (1973), 180–200

[4] I. Ts. Gokhberg, I. A. Feldman, “Ob indeksakh kratnykh rasshirenii matrits-funktsii”, Izv. AN MSSR, 1967, no. 8, 76–80 | MR | Zbl

[5] M. G. Krein, “Integralnye uravneniya na polupryamoi s yadrami, zavisyaschimi ot raznosti argumentov”, Uspekhi matem. nauk, XIII:5 (88) (1958), 3–120 | MR

[6] I. Ts. Gokhberg, M. G. Krein, “Osnovnye polozheniya o defektnykh chislakh, kornevykh chislakh i indeksakh lineinykh operatorov”, Uspekhi matem. nauk, XII:2 (79) (1957), 44–118 | MR