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This article is cited in 1 scientific paper (total in 1 paper)
An eigenfunction manifold generated by a family of periodic boundary value problems
Ya. M. Dymarskiia, A. A. Bondar'b a Moscow Institute of Physics and Technology, Dolgoprudny, Moscow region, Russia
b Specialized Educational and Scientific Center, Ural Federal University named after the first President of Russia B. N. Yeltsin, Ekaterinburg, Russia
Abstract:
An analytic and topological description is given of the manifold of periodic eigenfunctions generated by the space of one-dimensional stationary Schrödinger equations with periodic real potentials. Connections with results due to Neuman, Ince and Uhlenbeck are discussed.
Bibliography: 11 titles.
Keywords:
space of periodic boundary-value problems, fibration of the eigenfunction manifold.
Received: 23.06.2019 and 13.04.2021
Citation:
Ya. M. Dymarskii, A. A. Bondar', “An eigenfunction manifold generated by a family of periodic boundary value problems”, Sb. Math., 212:9 (2021), 1208–1227
Linking options:
https://www.mathnet.ru/eng/sm9294https://doi.org/10.1070/SM9294 https://www.mathnet.ru/eng/sm/v212/i9/p18
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