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Spectral analysis of second order difference equations. (English) Zbl 0392.39001


MSC:

39A12 Discrete version of topics in analysis
47A10 Spectrum, resolvent
39A70 Difference operators
47B39 Linear difference operators
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References:

[1] Atkinson, F. V., Discrete and Continuous Boundary Value Problems (1964), Academic Press: Academic Press New York · Zbl 0117.05806
[2] Berezanskii, J. M., Expansions in Eigenfunctions of Selfadjoint Operators, AMS Translations of Mathematical Monographs, Providence, R.I., Vol. 17 (1968) · Zbl 0157.16601
[3] Glazman, I. M., Direct Methods of Qualitative Spectral Analysis of Singular Differential Operators (1965), I.P.S.T: I.P.S.T Jerusalem · Zbl 0143.36505
[4] Hille, E., Nonoscillation theorems, Trans. Amer. Math. Soc., 64, 234-252 (1948) · Zbl 0031.35402
[5] Fort, T., Finite Differences and Difference Equations in the Real Domain (1948), Oxford Univ. Press: Oxford Univ. Press London · Zbl 0030.11902
[6] McCarthy, P. J., Note on oscillation of solutions of second-order linear difference equations, Portugal. Math., 18, 203-205 (1959) · Zbl 0094.06102
[7] Naimark, M. A., Linear Differential Operators, Part II (1968), Ungar: Ungar New York · Zbl 0227.34020
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