On the relation between the S−matrix and the spectrum of the interior Laplacian

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dc.contributor.author Ramm, Alexander G.
dc.date.accessioned 2011-03-07T15:46:30Z
dc.date.available 2011-03-07T15:46:30Z
dc.date.issued 2011-03-07
dc.identifier.uri http://hdl.handle.net/2097/7979
dc.description.abstract The main results of this paper are: 1) a proof that a necessary condition for 1 to be an eigenvalue of the S-matrix is real analyticity of the boundary of the obstacle, 2) a short proof of the conclusion stating that if 1 is an eigenvalue of the S-matrix, then k2 is an eigenvalue of the Laplacian of the interior problem, and that in this case there exists a solution to the interior Dirichlet problem for the Laplacian, which admits an analytic continuation to the whole space R3 as an entire function. en_US
dc.relation.uri http://journals.impan.gov.pl/ba/ en_US
dc.subject S-matrix en_US
dc.subject Wave scattering by obstacles en_US
dc.subject Discrete spectrum en
dc.subject Scattering amplitude en
dc.title On the relation between the S−matrix and the spectrum of the interior Laplacian en_US
dc.type Article (author version) en_US
dc.date.published 2009 en_US
dc.citation.doi 10.4064/ba57-2-11 en_US
dc.citation.epage 188 en_US
dc.citation.issue 2 en_US
dc.citation.jtitle Bulletin of the Polish Academy of Sciences, Mathematics en_US
dc.citation.spage 181 en_US
dc.citation.volume 57 en_US
dc.contributor.authoreid ramm en_US

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