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Absence of Cantor spectrum for a class of Schr\"odinger operators
Author(s):
Norbert
Riedel
Journal:
Bull. Amer. Math. Soc.
29
(1993),
85-87.
MSC (1991):
Primary 47B39, 47C15;
Secondary 31A15
MathSciNet review:
1199856
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References |
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Additional information
References:
- [1]
- J. Bellissard and B. Simon, Cantor spectrum for the almost Mathieu equation, J. Funct. Anal. \textbf{48} (1982), 408--519. MR 678179
- [2]
- M.-D. Choi, G. A. Elliott, and N. Yui, Gauss polynomials and the rotation algebra, Invent. Math. \textbf{99} (1990), 225--246. MR 1031901
- [3]
- J. Fr\"ohlich, T. Spencer, and P. Wittwer, Localization for a class of one-dimensional quasi-periodic Schr\"odinger operators, Comm. Math. Phys. \textbf{132} (1990), 5--25. MR 1069198
- [4]
- B. Helffer and J. Sj\"ostrand, Analyse semi-classique pour l'\'equation de Harper. {\rm I-III}, M\'em. Soc. Math. France (N.S.) (4) {\bf 116}, (4) {\bf 117}, (1) {\bf 118}, (1988--1990). MR
- [5]
- L. Pastur and A. Figotin, Spectra of random and almost-periodic operators, Springer-Verlag, New York, 1992. MR 1223779
- [6]
- N. Riedel, Almost Mathieu operators and rotation $C^*$-algebras, Proc. London Math. Soc. (3) \textbf{56} (1988), 281--302. MR 922657
- [7]
- N. Riedel, {\it The spectrum of a class of almost periodic operators\/}, preprint. MR 1995487
- [8]
- N. Riedel, {\it Regularity of the spectrum for the almost Mathieu operator\/}, preprint. MR 1814097
- [9]
- B. Simon, Almost periodic Schr\"odinger operators\,\RM : a review, Adv. in Appl. Math. \textbf{3} (1982), 463--490. MR 682631
- [10]
- Ya. G. Sinai, Anderson localization for one-dimensional difference Schr\"odinger operator with quasiperiodic potential, J. Stat. Phys. \textbf{46} (1987), 861--909. MR 893122
- [11]
- M. Tsuji, Potential theory in modern function theory, Chelsea, New York, 1959. MR 114894
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Additional Information:
DOI:
10.1090/S0273-0979-1993-00406-3
PII:
S 0273-0979(1993)00406-3
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