Literature Cited
A. M. Molchanov, "On conditions for discreteness of the spectrum of selfadjoint differential equations of the second order," Tr. Mosk. Mat. Obshch.,2, 169–199 (1953).
F. Martinelli and E. Scoppola, Preprint, Rome (1986).
R. S. Ismagilov, "The continuous spectrum of second-order ordinary differential operators," Mat. Zametki,34, No. 4, 535–547 (1983).
R. S. Ismagilov, "On the spectrum of the Sturm-Liouville equation with an oscillating potential," Mat. Zametki,37, No. 6, 869–879 (1985).
S. Kotani, "Lyapunov exponents and spectra for one-dimensional random Schrödinger operators," in: Random Matrices and Their Applications (Brunswick, Maine, 1984), Contemp. Math., No. 50, Am. Math. Soc., Providence, R.I. (1986), pp. 276–286.
W. Kirsch, S. A. Molchanov, and L. A. Pastur, "One-dimensional Schrödinger operator with unbounded potential," Funkts. Anal. Prilozhen.,24, No. 3, 14–25 (1990).
Additional information
Mosgortrans NIIProekt. M. V. Lomonosov Moscow State University. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 25, No. 3, pp. 89–92, July–September, 1991.
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Gordon, A.Y., Molchanov, S.A. & Tsagani, B. Spectral theory of one-dimensional Schrödinger operators with strongly fluctuating potentials. Funct Anal Its Appl 25, 236–238 (1991). https://doi.org/10.1007/BF01085500
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DOI: https://doi.org/10.1007/BF01085500