ON THE INVERSION AND ON THE SPECTRUM OF WIENER-HOPF MATRIX OPERATORS
G Haĭnig · Mathematics of the USSR-Sbornik · 1973
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 items.