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Journal of the London Mathematical Society (1)

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ON THE INVERSE RESONANCE PROBLEM
B. M. BROWN, I. KNOWLES, R. WEIKARD
Journal:

Journal of the London Mathematical Society / Volume 68 / Issue 2 / October 2003

Published online by Cambridge University Press:

25 September 2003, pp. 383-401

Print publication:

October 2003
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A new technique is presented which gives conditions under which perturbations of certain base potentials are uniquely determined from the location of eigenvalues and resonances in the context of a Schrödinger operator on a half line. The method extends to complex-valued potentials and certain potentials whose first moment is not integrable.Research supported in part by the US National Science Foundation under grants DMS-9970299 and DMS-0107492 and by the UK EPSRC.