Structure of the spectrum of a nonselfadjoint Dirac operator

被引：0

作者：

Makin, A. S. ^{[1
]}

机构：

[1] MIREA Russian Technol Univ, Moscow, Russia

来源：

SBORNIK MATHEMATICS | 2023年 / 214卷 / 01期

关键词：

Dirac operator; characteristic function; spectrum;

D O I：

10.4213/sm9709e

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For the Dirac operator with two-point boundary conditions and an arbitrary complex-valued L-2-integrable potential V(x) the spectral problem is considered. Necessary and sufficient conditions on an entire function to be the characteristic function of such a boundary value problem are obtained. Necessary and sufficient conditions on the spectrum of the above operator are established in the case when the boundary conditions are regular.

引用

页码：39 / 57

页数：19

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