Abstract
One considers a perturbed one-dimensional Hill operator. One gives a formula for the asymptotics of the discrete spectrum in the gap of the continuous spectrum and conditions under which this formula is valid.
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Literature cited
L. B. Zelenko, “Asymptotic distribution of the eigenvalues in a gap of the continuous spectrum of a perturbed Hill operator,” Mat. Zametki,20, No. 3, 341–350 (1976).
Additional information
Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 147, pp. 188–189, 1985.
In conclusion the author expresses his deep gratitude to his scientific adviser M. Sh. Birman for the formulation of the problem and for his constant interest in this note.
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Khryashchev, S.V. Asymptotics of the discrete spectrum of a perturbed Hill operator. J Math Sci 37, 908–909 (1987). https://doi.org/10.1007/BF01387732
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DOI: https://doi.org/10.1007/BF01387732