Intertwining Operators in Inverse Scattering

Anders Holst and Anders Melin
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Anders Holst: Lund University, Centre for Mathematical Sciences
Anders Melin: Lund University, Centre for Mathematical Sciences

A chapter in New Analytic and Geometric Methods in Inverse Problems, 2004, pp 51-92 from Springer

Abstract: Abstract 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.

Keywords: Fundamental Solution; Inverse Scattering; Wave Operator; Integral Kernel; Invertible Element (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1007/978-3-662-08966-8_2

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