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- W2964258093 abstract "The operator $ipartial ^3+i partial p+i ppartial +q$ with 1-periodic coefficients $p,qin L_{mathrm {loc}}^1(mathbb {R})$ is considered on the real line. The following results are obtained: 1) the spectrum of this operator is absolutely continuous, covers the entire real line, and has multiplicity one or three; 2) the spectrum of multiplicity three is bounded and expressed in terms of real zeros of a certain entire function; 3) the Lyapunov function, analytic on a 3-sheeted Riemann surface, is constructed and investigated." @default.
- W2964258093 created "2019-07-30" @default.
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- W2964258093 date "2014-07-18" @default.
- W2964258093 modified "2023-10-16" @default.
- W2964258093 title "A third order operator with periodic coefficients on the real line" @default.
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- W2964258093 doi "https://doi.org/10.1090/s1061-0022-2014-01313-1" @default.
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