| Title | Intertwining operators in inverse scattering |
| Authors | Anders Holst, Anders Melin |
| Publication | New Analytic and Geometric Methods in Inverse Problems: Lectures Given at the Ems Summer School and Conference Held in Edinburgh, Scotland 2000 |
| Year | 2004 |
| Pages | 51 - 92 |
| Document type | Conference paper |
| Conference name | European Mathematical Society (EMS) Summer School and Conference on Recent Developments in the Wave Field and Diffuse Tomographic Inverse Problems |
| Conference Date | 2000-07-24/2000-08-05 |
| Conference Location | Edinburgh, UK |
| Status | Published |
| Quality controlled | Yes |
| Language | eng |
| Publisher | Springer Verlag |
| Abstract English | 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> the potential term is removed.<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. |
| Keywords | operator theory, inverse problems, partial differential equations, scattering theory, |
| ISBN/ISSN/Other | ISBN: 3540406824 |
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