Intertwining Operators in Inverse Scattering

  • Anders Holst
  • Anders Melin
Conference paper


In these notes we are going to present some technique which is a multidimensional analogue of some methods which are nowadays standard in scattering theory on the real line for the Schrödinger operator. These methods are based on the construction of operators intertwining the Schrödinger operator with the ‘free operator’ obtained when the potential term is removed. We refer to the monograph [5] by V. A. Marchenko and to the paper [6] for a detailed presentation of this technique.


Fundamental Solution Inverse Scattering Wave Operator Integral Kernel Invertible Element 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Anders Holst
    • 1
  • Anders Melin
    • 1
  1. 1.Centre for Mathematical SciencesLund UniversityLundSweden

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