A modification of an approach to the solution of the Hilbert boundary-value problem for an analytic function in a multiconnected circular domain

We propose a modification of the approach proposed by us in Russian Mathematics (Iz. VUZ) 44 (2), 58–62 (2000) for the solution of the Hilbert boundary-value problem for an analytic function in a multiconnected circular domain. This approach implies the solution of the corresponding homogeneous problem including the determination of an analytic function from the known boundary values of its argument in a circular domain.