On the inverse problem for Dirac operator on the semiaxis (Q2704768)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the inverse problem for Dirac operator on the semiaxis |
scientific article |
Statements
12 March 2001
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Dirac system
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inverse problem
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scattering problem
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On the inverse problem for Dirac operator on the semiaxis (English)
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Here, expansion formulas over products of solutions to two Dirac systems are constructed. These formulas enable the author to prove uniqueness theorems for inverse scattering problems [\textit{M. G. Gasymov} and \textit{B. M. Levitan}, Soviet Math., Doklady 7, 495-499 (1966); translation from Dokl. Akad. Nauk SSSR 167, 967-970 (1966; Zbl 0168.12401), and ibid. 7, 543-547 (1966); translation from Dokl. Akad. Nauk 167, 1219-1222 (1966; Zbl 0168.12402)] and to find out inversion formulas for the perturbation of the scattering data.
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