Inverse scattering on the half-line revisited

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Show simple item record Ramm, Alexander G. 2015-10-23T16:14:47Z 2015-10-23T16:14:47Z
dc.description.abstract The inverse scattering problem on the half-line has been studied in the literature in detail. V. Marchenko presented the solution to this problem. In this paper, the invertibility of the steps of the inver-sion procedure is discussed and a new set of necessary and sufficient conditions on the scattering data is given for the scattering data to be generated by a potential q ∈ L1,1. Our proof is new and in con-trast with Marchenko’s proof does not use equations on the negative half-line. en_US
dc.language.iso en_US en_US
dc.publisher Elsevier en_US
dc.relation.uri en_US
dc.rights en_US
dc.subject Inverse Scattering en_US
dc.subject Riemann problem en_US
dc.title Inverse scattering on the half-line revisited en_US
dc.type Article (author version) en_US 2015 en_US
dc.citation.epage 169 en_US
dc.citation.issn 0034-4877 en_US
dc.citation.issue 2 en_US
dc.citation.jtitle Reports on Mathematical Physics en_US
dc.citation.spage 159 en_US
dc.citation.volume 76 en_US
dc.contributor.authoreid ramm en_US

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