INVERSE SCATTERING PROBLEM FOR THE 3-D SCHRODINGER-EQUATION AND WIENER-HOPF FACTORIZATION OF THE SCATTERING OPERATOR

Sufficient conditions are given for the existence of a Wiener-Hopf factorization of the scattering operator for the 3-D Schrödinger equation with a potential having no spherical symmetry. A consequence of this factorization is the solution of a related Riemann-Hilbert problem, thus providing a solution of the 3-D inverse scattering problem. © 1990 American Institute of Physics.