On~the inversion and on the spectrum of Wiener--Hopf matrix operators
Sbornik. Mathematics, Tome 20 (1973) no. 2, pp. 267-281
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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.
@article{SM_1973_20_2_a4,
author = {G. Khainig},
title = {On~the inversion and on the spectrum of {Wiener--Hopf} matrix operators},
journal = {Sbornik. Mathematics},
pages = {267--281},
publisher = {mathdoc},
volume = {20},
number = {2},
year = {1973},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1973_20_2_a4/}
}
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/