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Inverse scattering problems for singular rank-one perturbations of a selfadjoint operator

Article type: Research Article

Authors: Yoshitomi, Kazushi

Affiliations: Department of Mathematics and Information Sciences, Tokyo Metropolitan University, Minamiohsawa 1-1, Hachioji, Tokyo 192-0397, Japan. E-mail: yositomi@tmu.ac.jp

Abstract: We study inverse scattering problems for the singular rank-one perturbations of a selfadjoint operator. We obtain a necessary and sufficient condition for a given function to be the scattering phase shift of a singular rank-one perturbation of the operator.

Keywords: scattering theory, inverse problems, singular perturbation

DOI: 10.3233/ASY-2012-1112

Journal: Asymptotic Analysis, vol. 80, no. 3-4, pp. 213-221, 2012

Published: 2012
Price: EUR 27.50
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