On the Fredholm theory of Wiener-Hopf equations and the coupling method (Q1104532)

The authors apply to Wiener-Hopf operators I-K with general \(L^ 1\) kernels the coupling methods for solving operator equations. The nullity and defect numbers of the operator are computed in terms of operators apparent in coupling relations. The generalized inverse of I-K is also found by using the indicator of I-K. These results rely on the coupling method developed by Bart, Gohberg and Kaashoek.