Well-posedness of boundary value problem on straight line for three analytic functions (Q1398509)

This paper deals with the well-posedness of boundary value problems on the real straight line for three analytic functions. The author points out that, the above boundary value problem will be posed under definite conditions, by the Fourier and inverse Fourier transforms. The author obtains the necessary and sufficient conditions of the solvability for the above problem, and proved that, the above problem is equivalent to some singular integral equation at given conditions.