Suppose that for a potential u ( x ) for the Schrödinger operator L = − − d 2 d x 2 + u ( x ) , one has the scattering data ( r ( k ) , { χ χ 1 , ⋯ ⋯ , χ χ N } ) , where r ( k ) are the reflection coefficients from continuous scattering, given as a function r : R → → C , and the real parameters χ χ 1 , ⋯ ⋯ , χ χ N > 0 are from the discrete bound spectrum.