On the possibility of expanding the Sohrödinger equation solution witn regard to the solutions of potential scattering problem

The paper deals with Sohrödinger equation with Povzner potential function defined on the three-dimensional space. The requirements have been found which are necessary for presentting the solution in the form $u(x)=\int_{|\alpha|=1}\Psi(x,\alpha)\,d\mu_\alpha$, $\Psi(x,\alpha)$ being the solution of the potential scattering problem.
These requirements have been demonstrated to be as well sufficient if certain stricter limitations are imposed on the potential function.