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Intertwining operators in inverse scattering

In English

Författare

Redaktör

  • 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.

Avdelning/ar

Publiceringsår

2004

Språk

Engelska

Sidor

51-92

Publikation/Tidskrift/Serie

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

Dokumenttyp

Konferensbidrag

Förlag

Springer

Ämne

  • Mathematics

Nyckelord

  • 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

Forskningsgrupp

  • Harmonic Analysis and Applications
  • Partial differential equations

ISBN/ISSN/Övrigt

  • ISBN: 3540406824