Krein's method in inverse scattering

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dc.contributor.author Ramm, Alexander G.
dc.contributor.editor Ramm, A. G.
dc.contributor.editor Shivakumar, P. N.
dc.contributor.editor Strauss, A. V.
dc.date.accessioned 2012-07-25T15:06:06Z
dc.date.available 2012-07-25T15:06:06Z
dc.date.issued 7/25/2012
dc.identifier.uri http://hdl.handle.net/2097/14089
dc.description.abstract A detailed discussion of the Krein’s results (applicable for solving the inverse scattering problem) is given with complete proofs. It is shown that the S-function S(k) used in Krein’s work is the S-matrix used in physics. The basic new results of the paper include the detailed description and analysis of an inversion algorithm based on Krein’s results and a proof of its consistency, that is the proof that the reconstructed potential generates the same scattering data from which it was reconstructed. Numerical advantages of using Krein’s method are discussed. en_US
dc.publisher American Mathematical Society en_US
dc.relation.uri http://www.ams.org/bookstore en_US
dc.rights Copyright 2000 by the American Mathematical Society. First published in Fields Institute Communications, v. 25, published by the American Mathematical Society en_US
dc.subject Krein's method en_US
dc.subject Inverse scattering en_US
dc.subject Inversion algorithm en_US
dc.title Krein's method in inverse scattering en_US
dc.type Book chapter (author version) en_US
dc.date.published 2000 en_US
dc.citation.epage 455 en_US
dc.citation.isbn 0-8218-1990-9 en_US
dc.citation.jtitle Fields Institute Communications en_US
dc.citation.spage 441 en_US
dc.citation.volume 25 en_US
dc.citation.btitle Operator Theory and Its Applications en_US
dc.contributor.authoreid ramm en_US


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