Geodesic
On the closure of the set of finite-zone potentials
Sbornik. Mathematics, Tome 51 (1985) no. 1, pp. 67-89 
B. M. Levitan. On the closure of the set of finite-zone potentials. Sbornik. Mathematics, Tome 51 (1985) no. 1, pp. 67-89. http://geodesic.mathdoc.fr/item/SM_1985_51_1_a4/
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     author = {B. M. Levitan},
     title = {On the closure of the set of finite-zone potentials},
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     url = {http://geodesic.mathdoc.fr/item/SM_1985_51_1_a4/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

A special class of almost-periodic potentials of the one-dimensional Schrödinger operator is studied. These potentials are limits of finite-zone potentials. In contrast to previous work of the author in which a class of almost-periodic potentials was considered with lacunae in the spectrum having a single limit point at infinity, in this paper the case is studied where the lacunae in the spectrum also have finite limit points. There may be infinitely many of the latter. Figures: 2. Bibliography: 10 titles.

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[7] Levitan B. M., Pochti-periodicheskie funktsii, Gostekhizdat, M., 1954

[8] Dubrovin B. A., “Periodicheskaya zadacha Kortevega de Friza v klasse konechno-zonnykh potentsialov”, Funkts. analiz, 9:3 (1975), 41–51 | MR | Zbl

[9] Akhiezer N. I., “Kontinualnyi analog ortogonalnykh polinomov na sisteme intervalov”, DAN SSSR, 141 (1961), 263–266 | Zbl

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