Geodesic
On asymptotics of the discrete spectrum of perturbed Hill's operator
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 17, Tome 147 (1985), pp. 188-189

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Perturbed one-dimensional Hill's operator is considered. The formula for asymptotics of the discrete spectrum at lacuna of continuous spectrum and conditions of validity of the formula are stated. 
@article{ZNSL_1985_147_a15,
     author = {S. V. Khryashchev},
     title = {On asymptotics of the discrete spectrum of perturbed {Hill's} operator},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {188--189},
     publisher = {mathdoc},
     volume = {147},
     year = {1985},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1985_147_a15/}
}
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S. V. Khryashchev. On asymptotics of the discrete spectrum of perturbed Hill's operator. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 17, Tome 147 (1985), pp. 188-189. http://geodesic.mathdoc.fr/item/ZNSL_1985_147_a15/