On the completeness of root function system of the Dirac operator with two-point boundary conditions

被引：2

作者：

Makin, Alexander ^{[1
,2
]}

机构：

[1] Peoples Friendship Univ Russia, Math Inst, Moscow, Russia

[2] Peoples Friendship Univ Russia, Inst Math, Miklukho Maklaya Str 6, Moscow 117198, Russia

来源：

MATHEMATISCHE NACHRICHTEN | 2024年 / 297卷 / 07期

关键词：

completeness of root function systems; Dirac operator; non-regular boundary conditions; RIESZ BASIS PROPERTY; 1ST-ORDER SYSTEMS; DIFFERENTIAL-EQUATIONS; SUBSPACES; VECTORS;

D O I：

10.1002/mana.202300241

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The paper is concerned with the completeness property of root functions of the Dirac operator with summable complex-valued potential and nonregular boundary conditions. We also obtain an explicit form for the fundamental solution system of the considered operator.

引用

页码：2468 / 2487

页数：20

共 20 条

[1] Agibalova AV, 2012, METHODS FUNCT ANAL T, V18, P4
[2] The boundary problems and developments associated with a system of ordinary linear differential equations of the first order
Birkhoff, GD
Langer, RE
[J]. PROCEEDINGS OF THE AMERICAN ACADEMY OF ARTS AND SCIENCES, 1923, 58 (1/17): : 51 - 128
[3] Ginzburg Yu.P., 1971, Funct. Anal. Appl., V5, P197
[4] Kosarev AP, 2021, MATH NOTES+, V110, P967, DOI 10.1134/S0001434621110353
[5] On the Riesz basis property of the root vector system for Dirac-type 2 x 2 systems
Lunyov, A. A.
Malamud, M. M.
[J]. DOKLADY MATHEMATICS, 2014, 90 (02) : 556 - 561
[6] On the completeness of systems of root vectors for first-order systems: Application to the Regge problem
Lunyov, A. A.
Malamud, M. M.
[J]. DOKLADY MATHEMATICS, 2013, 88 (03) : 678 - 683
[7] Lunyov A. A., 2TIMES 2 DIRAC TYPE
[8] Lunyov A. A., NTIMES N DIRAC TYPE
[9] On the Riesz basis property of root vectors system for 2 x 2 Dirac type operators
Lunyov, Anton A.
Malamud, Mark M.
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2016, 441 (01) : 57 - 103
[10] On the completeness and Riesz basis property of root subspaces of boundary value problems for first order systems and applications
Lunyov, Anton A.
Malamud, Mark M.
[J]. JOURNAL OF SPECTRAL THEORY, 2015, 5 (01) : 17 - 70

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