Integral operators with discontinuous kernels

The equiconvergence of expansions of an arbitrary function and associated functions of the integral operators are studied. It is assumed that all the eigenvalues of B are different and nonzero and are enumerated depending an arg λ. For differential operators, the regularity conditions for boundary conditions cover all the cases concerning important facts. The resolvent increases exponentially with respect to λ and as in the case of differential operators with irregular splitting boundary conditions, only analytic functions can be calculated.