AN INVERSE PROBLEM FOR A CLASS OF ONE-DIMENSIONAL SCHRÖDINGER OPERATORS WITH A COMPLEX PERIODIC POTENTIAL
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Publication:3970449
DOI10.1070/IM1991v037n03ABEH002161zbMath0739.34022MaRDI QIDQ3970449
Leonid Pastur, Vadim A. Tkachenko
Publication date: 25 June 1992
Published in: Mathematics of the USSR-Izvestiya (Search for Journal in Brave)
Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Sturm-Liouville theory (34B24) Inverse problems involving ordinary differential equations (34A55)
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On the spectrum of the quadratic pencil of differential operators with periodic coefficients on the semi-axis ⋮ Picard potential and Hill's equation on a torus ⋮ Unnamed Item ⋮ On transformation operators for the Schrödinger equation with an additional periodic complex potential ⋮ On the spectrum of the pencil of high order differential operators with almost periodic coefficients ⋮ A Schauder and Riesz basis criterion for non-self-adjoint Schrödinger operators with periodic and antiperiodic boundary conditions ⋮ Periodic Jacobi operators with complex coefficients ⋮ Spectral analysis for one class of second-order indefinite non-self-adjoint differential operator pencil ⋮ A criterion for Hill operators to be spectral operators of scalar type ⋮ The generalized Birman–Schwinger principle
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