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On the Inverse Resonance Problem |
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| Authors: | Brown, B. M. Knowles, I. Weikard, R. |
| Affiliation: | Department of Computer Science, University of Wales Cardiff CF2 3XF, malcolm.brown{at}cs.cf.ac.uk Department of Mathematics, University of Alabama Birmingham, AL 35294-1170, USA, iwk{at}math.uab.edu Department of Mathematics, University of Alabama Birmingham, AL 35294-1170, USA, rudi{at}math.uab.edu |
| Abstract: | A new technique is presented which gives conditions under whichperturbations of certain base potentials are uniquely determinedfrom the location of eigenvalues and resonances in the contextof a Schrödinger operator on a half line. The method extendsto complex-valued potentials and certain potentials whose firstmoment is not integrable. |
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