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Matrix finite-zone operators - MaRDI portal

Matrix finite-zone operators (Q2266506)

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Matrix finite-zone operators
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    Matrix finite-zone operators (English)
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    1985
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    This article is a survey of the spectral properties of matrix finite-zone operators. Conditions of the type of J-self-adjointness for such operators and explicit formulas expressing the coefficients of such operators in terms of the functions are obtained. The simplest examples of such J-self-adjoint, finite-zone operators turn out to be connected with the theory of ovals of plane, real, algebraic curves.
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    Dirac-operators
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    nonlinear Schrödinger operator
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    sine-Gordon-equation
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    periodic potentials
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    spectral properties
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