Multiple factorization of convolution-type integral operators (Q1975763)

Several methods are proposed for the decomposition of an integral operator \(I-K\), where \(I\) is the identity operator and \(K\) is a Wiener-Hopf integral operator, into three or more factors. Main attention is paid to the case when the initial kernel \(K(x-t)\) is represented in the form of superposition of exponentials. The decompositions and a priori bounds obtained can be used for solving the corresponding integral equations.