Melin, A. Some mathematical problems in inverse potential scattering. (English) Zbl 0648.35065 Sémin., Équations Dériv. Partielles 1986-1987, Exp. No. 20, 6 p. (1987). The Schrödinger operator \(H_ v=-\Delta +v(x)\) in odd dimensions is considered. Precise information about intertwining operators for the pair \(H_ v,H_ 0\), i.e. \(AH_ 0=H_ vA\) is obtained. This technical result is used to extend to higher (odd) dimensions and small potentials, the author’s approach to inverse scattering in one dimension. There are no proofs. Reviewer: G.Nencin MSC: 35P25 Scattering theory for PDEs 35J10 Schrödinger operator, Schrödinger equation 35R30 Inverse problems for PDEs Keywords:Schrödinger operator; odd dimensions; intertwining operators; small potentials; inverse scattering PDFBibTeX XML Full Text: Numdam EuDML