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Intertwining operat...
Intertwining operators in inverse scattering
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- Holst, Anders (author)
- Lund University,Lunds universitet,Partiella differentialekvationer,Forskargrupper vid Lunds universitet,Matematik LTH,Matematikcentrum,Institutioner vid LTH,Lunds Tekniska Högskola,Partial differential equations,Lund University Research Groups,Mathematics (Faculty of Engineering),Centre for Mathematical Sciences,Departments at LTH,Faculty of Engineering, LTH
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- Melin, Anders (author)
- Lund University,Lunds universitet,Matematik (naturvetenskapliga fakulteten),Matematikcentrum,Institutioner vid LTH,Lunds Tekniska Högskola,Mathematics (Faculty of Sciences),Centre for Mathematical Sciences,Departments at LTH,Faculty of Engineering, LTH
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Bingham, Kenrick (editor)
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Kurylev, Yaroslav V. (editor)
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Somersalo, Erkki (editor)
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(creator_code:org_t)
- 2004
- 2004
- English 41 s.
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In: New Analytic and Geometric Methods in Inverse Problems: Lectures Given at the Ems Summer School and Conference Held in Edinburgh, Scotland 2000. - 3540406824 ; , s. 51-92
- Related links:
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https://lup.lub.lu.s...
Abstract
Subject headings
Close
- 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.
Subject headings
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Keyword
- operator theory
- inverse problems
- partial differential equations
- scattering theory
Publication and Content Type
- kon (subject category)
- ref (subject category)
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