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- W2105159544 abstract "In this paper we prove that the spectrum of the Mathieu-Hill Operators with potentials ae^{-i2{pi}x}+be^{i2{pi}x} and ce^{-i2{pi}x}+de^{i2{pi}x} are the same if and only if ab=cd, where a,b,c and d are complex numbers. This result implies some corollaries about the extension of Harrell-Avron-Simon formula. Moreover, we find explicit formulas for the eigenvalues and eigenfunctions of the t-periodic boundary value problem for the Hill operator with Gasymov's potential." @default.
- W2105159544 created "2016-06-24" @default.
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- W2105159544 date "2013-05-30" @default.
- W2105159544 modified "2023-10-14" @default.
- W2105159544 title "Isospectral Mathieu–Hill Operators" @default.
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- W2105159544 doi "https://doi.org/10.1007/s11005-013-0627-4" @default.
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