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

被引：0
作者：
M. Sh. Burlutskaya
A. P. Khromov
机构：
[1] Voronezh State University,
[2] Saratov State University (National Research University),undefined
来源：
Differential Equations | 2018年 / 54卷
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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) = QT(1−x), x ∈ [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 L22 [0, 1].
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页码：586 / 595
页数：9
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