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Asymptotic distribution of eigenvalues in a lacuna of the continuous spectrum of the perturbed Hill operator

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Abstract

Asymptotic formulas are obtained for the distribution function of the eigenvalues accumulating at the end of a lacuna of the continuous spectrum of the perturbed Hill operator.

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Literature cited

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Translated from Matematicheskie Zametki, Vol. 20, No. 3, pp. 341–350, September, 1976.

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Zelenko, L.B. Asymptotic distribution of eigenvalues in a lacuna of the continuous spectrum of the perturbed Hill operator. Mathematical Notes of the Academy of Sciences of the USSR 20, 750–755 (1976). https://doi.org/10.1007/BF01097243

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  • DOI: https://doi.org/10.1007/BF01097243

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