Functional differential operators with involution and Dirac operators with periodic boundary conditions (Q403912)

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Functional differential operators with involution and Dirac operators with periodic boundary conditions
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    Functional differential operators with involution and Dirac operators with periodic boundary conditions (English)
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    29 August 2014
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    The paper summarizes results concerning eigenvalues and eigenfunctions of the functional operators with involution \[ L^{\pm}y=y'(x)\pm q(x)y(1-x),\quad y(0)=y(1), \quad x\in[0,1] \] by means of the corresponding Dirac operator. The Riesz projectors of the Dirac operator are also investigated.
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    operator with involution
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    Dirac operator
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    eigenvalues
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    eigenfunctions
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