Geodesic
The asymptotics of spectral data of the harmonic oscillator perturbed by a potential
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 31, Tome 303 (2003), pp. 223-271 Cet article a éte moissonné depuis la source Math-Net.Ru

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The asymptotics of spectral data of the perturbed harmonic oscillator $-y''+x^2y+q(x)y$ are obtained for the potentials $q(x)$ such that $q',xq\in L^2(\mathbb R)$. These results are important for the solution of the corresponding inverse spectral problem. 
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     title = {The asymptotics of spectral data of the harmonic oscillator perturbed by a~potential},
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D. S. Chelkak. The asymptotics of spectral data of the harmonic oscillator perturbed by a potential. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 31, Tome 303 (2003), pp. 223-271. http://geodesic.mathdoc.fr/item/ZNSL_2003_303_a12/

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