Spectral estimates for periodic Jacobi matrices

Communications in Mathematical Physics

Volumn 234, Issue 3, 2003, Pages 517-532

  Korotyaev, Evgeni ^a   Krasovsky, Igor V ^b  

^a HUMBOLDT UNIVERSITY   (Germany)

^b TECHNISCHE UNIVERSITÄT BERLIN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037359439     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00220-002-0768-2     Document Type: Article

References (21)

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7. Marchenko, V., Ostrovski, I.: A characterization of the spectrum of the Hill operator. Mat. Sb. 97(139), 4(8), 540-606 (1975), in Russian; V. Marchenko: Sturm-Liouville operators and applications. Basel: Birkhäuser, 1986
8. Marchenko, V., Ostrovski, I.: A characterization of the spectrum of the Hill operator. Mat. Sb. 97(139), 4(8), 540-606 (1975), in Russian; V. Marchenko: Sturm-Liouville operators and applications. Basel: Birkhäuser, 1986
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11. Korotyaev, E.: Estimates for the Hill operator. I. J. Differential Equations 162 (1), 1-26 (2000)
12. Korotyaev, E.: The Estimates of periodic potential in terms of effective masses. Commun. Math. Phys. 183, 383-400 (1997)
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15. Van Assche, W.: Asymptotics for Orthogonal Polynomials. Berlin: Springer, 1987
16. 14. Killip, R., Simon. B.: Sum rules for Jacobi matrices and their applications to spectral theory. Ann. Math., to appear
17. Levin, B.: Majorants in the class of subharmonic functions. 1-3. Theor. Funkzij Funkz. Anal, i Prilozh. 51, 3-17 (1989); 52, 3-33 (1989), in Russian
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19. Last, Y.: Almost everything about the almost Mathieu operator. In: XIth Intl. Congress Math. Phys. Proceedings, D. Iagolnitzer (ed.) Boston: International, 1995, pp. 366; S. Jitomirskaya, ibid., p. 373
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21. p spaces. Cambridge: Cambridge University Press, 1998