The browser you are using is not supported by this website. All versions of Internet Explorer are no longer supported, either by us or Microsoft (read more here: https://www.microsoft.com/en-us/microsoft-365/windows/end-of-ie-support).

Please use a modern browser to fully experience our website, such as the newest versions of Edge, Chrome, Firefox or Safari etc.

Intertwining operators in inverse scattering

På svenska

Author

Editor

  • Kenrick Bingham
  • Yaroslav V. Kurylev
  • Erkki Somersalo

Summary, in 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

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.

Publishing year

2004

Language

English

Pages

51-92

Publication/Series

New Analytic and Geometric Methods in Inverse Problems: Lectures Given at the Ems Summer School and Conference Held in Edinburgh, Scotland 2000

Document type

Conference paper

Publisher

Springer

Topic

  • Mathematics

Keywords

  • operator theory
  • inverse problems
  • partial differential equations
  • scattering theory

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 place

Edinburgh, United Kingdom

Status

Published

Research group

  • Harmonic Analysis and Applications
  • Partial differential equations

ISBN/ISSN/Other

  • ISBN: 3540406824