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Intertwining operators in inverse scattering

Holst, Anders LU and Melin, Anders LU (2004) European Mathematical Society (EMS) Summer School and Conference on Recent Developments in the Wave Field and Diffuse Tomographic Inverse Problems In New Analytic and Geometric Methods in Inverse Problems: Lectures Given at the Ems Summer School and Conference Held in Edinburgh, Scotland 2000 p.51-92
Abstract
In these notes we are going to present a technique which is a multi-dimensional analogue of some methods which are nowadays standard inscattering 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.





The multi-dimensional technique using intertwining operators as a tool for the study of Schrödinger operators has its origin in a famous paper by L. D. Faddeev. Various extensions of this technique have been developed during the last years by the second author of this article.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
operator theory, inverse problems, partial differential equations, scattering theory
in
New Analytic and Geometric Methods in Inverse Problems: Lectures Given at the Ems Summer School and Conference Held in Edinburgh, Scotland 2000
editor
Bingham, Kenrick; Kurylev, Yaroslav V. and Somersalo, Erkki
pages
41 pages
publisher
Springer
conference name
European Mathematical Society (EMS) Summer School and Conference on Recent Developments in the Wave Field and Diffuse Tomographic Inverse Problems
external identifiers
  • WOS:000189315300002
ISBN
3540406824
language
English
LU publication?
yes
id
54678399-b2c6-4f1c-966a-c495da3eb862 (old id 778176)
date added to LUP
2009-06-01 12:41:33
date last changed
2017-02-09 12:02:28
@inproceedings{54678399-b2c6-4f1c-966a-c495da3eb862,
  abstract     = {In these notes we are going to present a technique which is a multi-dimensional analogue of some methods which are nowadays standard inscattering 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<br/><br>
the potential term is removed.<br/><br>
<br/><br>
<br/><br>
The multi-dimensional technique using intertwining operators as a tool for the study of Schrödinger operators has its origin in a famous paper by L. D. Faddeev. Various extensions of this technique have been developed during the last years by the second author of this article.},
  author       = {Holst, Anders and Melin, Anders},
  booktitle    = {New Analytic and Geometric Methods in Inverse Problems: Lectures Given at the Ems Summer School and Conference Held in Edinburgh, Scotland 2000},
  editor       = {Bingham, Kenrick and Kurylev, Yaroslav V. and Somersalo, Erkki},
  isbn         = {3540406824},
  keyword      = {operator theory,inverse problems,partial differential equations,scattering theory},
  language     = {eng},
  pages        = {51--92},
  publisher    = {Springer},
  title        = {Intertwining operators in inverse scattering},
  year         = {2004},
}