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INVERSE SPECTRAL PROBLEMS FOR SINGULAR RANK-ONE PERTURBATIONS OF A HILL OPERATOR

Part of: General theory in ordinary differential equations General theory of linear operators

Published online by Cambridge University Press:  15 December 2009

KAZUSHI YOSHITOMI
KAZUSHI YOSHITOMI*
Affiliation:
Department of Mathematics and Information Sciences, Tokyo Metropolitan University, Minami Ohsawa 1-1, Hachioji, Tokyo 192-0397, Japan (email: yositomi@tmu.ac.jp)
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Abstract

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We investigate an inverse spectral problem for the singular rank-one perturbations of a Hill operator. We give a necessary and sufficient condition for a real sequence to be the spectrum of a singular rank-one perturbation of the Hill operator.

Keywords

Hill operatorℋ−2-perturbationinverse spectral problem

MSC classification

Secondary: 34A55: Inverse problems 47A75: Eigenvalue problems
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 87 , Issue 3 , December 2009 , pp. 421 - 428
Copyright
Copyright © Australian Mathematical Publishing Association, Inc. 2009

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