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Deterministic potential with a pure point spectrum

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Literature cited

  1. R. Carmona, “Random Schrödinger operators,” Lect. Notes Math.,1180, 2–124 (1986).

    Google Scholar 

  2. F. Martinelli and E. Scoppolla, “Introduction to the mathematical theory of Anderson localization,” Riv. Nuovo Cimento,10, 2–90 (1987).

    Google Scholar 

  3. L. A. Pastur, “The spectral theory of random selfadjoint operators,” in: Probability Theory, Mathematical Statistics, Theoretical Cybernetics, Itogi Nauki Tekh., Akad. Nauk SSSR, VINITI, Moscow (1987), pp. 3–67.

    Google Scholar 

  4. S. Kotani, “Lyapunov exponents and spectra for one-dimensional random Schrödinger operators,” Contemp. Math.,50, 277–286 (1986).

    Google Scholar 

  5. V. Kirsh, S. A. Molchanov, and L. A. Pastur, “A one-dimensional Schrödinger operator with an unbounded potential: a pure point spectrum,” Funkts. Anal. Prilozhen.,24, No. 3 (1990).

  6. E. A. Coddington and N. Levinson, Theory of Ordinary Differential Equations, McGraw-Hill, New York (1955).

    Google Scholar 

  7. I. M. Glazman, Direct Methods of the Qualitative Spectral Analysis of Singular Differential Operators [in Russian], Fizmatgiz, Moscow (1963).

    Google Scholar 

  8. I. E. Shnol', “The behavior of eigenfunctions,” Dokl. Akad. Nauk SSSR,94, No. 3, 389–392 (1954).

    Google Scholar 

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Translated from Matematicheskie Zametki, Vol. 48, No. 6, pp. 38–46, December, 1990.

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Gordon, A.Y. Deterministic potential with a pure point spectrum. Mathematical Notes of the Academy of Sciences of the USSR 48, 1197–1203 (1990). https://doi.org/10.1007/BF01240260

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