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MR2077254 (2005h:81120) 81Q10 (34A55 34L40 47E05 47J99)
Chelkak, Dmitri; Kargaev, Pavel; Korotyaev, Evgeni Inverse problem for harmonic oscillator perturbed by potential, characterization. Comm. Math. Phys. 249 (2004), no. 1, 133–196.
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