Dirac Operator with a Potential of Special Form and with the Periodic Boundary Conditions

作者:Burlutskaya M Sh; Khromov A P*
来源:Differential Equations, 2018, 54(5): 586-595.
DOI:10.1134/S0012266118050038

摘要

We consider the Dirac operator on the interval [0, 1] with the periodic boundary conditions and with a continuous potential Q(x) whose diagonal is zero and which satisfies the condition Q(x) = Q (T)(1-x), x a [0, 1]. We establish a relationship between the spectrum of this operator and the spectra of related functional-differential operators with involution. We prove that the system of eigenfunctions of this Dirac operator has the Riesz basis property in the space L (2) (2) [0, 1].

  • 出版日期2018-5

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