, Volume 64, Issue 1, pp 7-21

An Inverse Problem for an Harmonic Oscillator Perturbed by Potential: Uniqueness

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Consider the perturbed harmonic oscillator Ty = -y" + x2y + q(x)y on L2(R) where the real potential q satisfy some assumption on infinity (the case q ∈ L2(R), (∣t∣+1)-rdt), r < 1 is covered).