On the Riesz Inequality and the Basis Property of Systems of Root Vector Functions of a Discontinuous Dirac Operator

Differential Equations ◽

10.1134/s0012266119080056 ◽

2019 ◽

Vol 55 (8) ◽

pp. 1045-1055

Author(s):

V. M. Kurbanov ◽

L. Z. Buksaeva

Keyword(s):

Dirac Operator ◽

Basis Property ◽

Root Vector ◽

Riesz Inequality

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Riesz inequality for systems of root vector functions of the Dirac operator

Differential Equations ◽

10.1134/s0012266112030044 ◽

2012 ◽

Vol 48 (3) ◽

pp. 336-342 ◽

Author(s):

V. M. Kurbanov ◽

A. I. Ismailova

Keyword(s):

Dirac Operator ◽

Root Vector ◽

Riesz Inequality

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Characterization of the potential smoothness of one-dimensional Dirac operator subject to general boundary conditions and its Riesz basis property

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2016.09.068 ◽

2017 ◽

Vol 447 (1) ◽

pp. 84-108 ◽

Author(s):

İlker Arslan

Keyword(s):

Dirac Operator ◽

Boundary Conditions ◽

Riesz Basis ◽

Basis Property ◽

General Boundary ◽

General Boundary Conditions ◽

One Dimensional ◽

Riesz Basis Property

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Properties of root vector functions for the one-dimensional Dirac operator

Doklady Mathematics ◽

10.1134/s1064562410040307 ◽

2010 ◽

Vol 82 (1) ◽

pp. 617-620 ◽

Author(s):

V. M. Kurbanov ◽

A. I. Ismailova

Keyword(s):

Dirac Operator ◽

Root Vector ◽

One Dimensional ◽

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On the basis property of the system of eigenfunctions and associated functions of a one-dimensional Dirac operator

Izvestiya Mathematics ◽

10.1070/im8623 ◽

2018 ◽

Vol 82 (2) ◽

pp. 351-376 ◽

Author(s):

A M Savchuk

Keyword(s):

Dirac Operator ◽

Basis Property ◽

One Dimensional ◽

Associated Functions ◽

Eigenfunctions And Associated Functions

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Two-sided estimates for root vector functions of the Dirac operator

Differential Equations ◽

10.1134/s0012266112040040 ◽

2012 ◽

Vol 48 (4) ◽

pp. 494-505 ◽

Author(s):

V. M. Kurbanov ◽

A. I. Ismailova

Keyword(s):

Dirac Operator ◽

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On the Abel Basis Property of the System of Root Vector-Functions of Degenerate Elliptic Differential Operators with Singular Matrix Coefficients

Siberian Mathematical Journal ◽

10.1007/s11202-006-0004-y ◽

2006 ◽

Vol 47 (1) ◽

pp. 35-44 ◽

Author(s):

K. Kh. Boimatov

Keyword(s):

Differential Operators ◽

Basis Property ◽

Root Vector ◽

Singular Matrix ◽

Matrix Coefficients ◽

Degenerate Elliptic ◽

Elliptic Differential Operators

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Bessel property and basicity of the system of root vector-functions of Dirac operator with summable coefficient

Operators and Matrices ◽

10.7153/oam-2018-12-57 ◽

2018 ◽

pp. 943-954

Author(s):

Vali M. Kurbanov ◽

Afsana M. Abdullayeva

Keyword(s):

Dirac Operator ◽

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On the basis property of the system of eigenvectors and associated vectors of the Dirac operator with a spectral parameter in the boundary conditions

Russian Mathematical Surveys ◽

10.1070/rm1987v042n04abeh001450 ◽

1987 ◽

Vol 42 (4) ◽

pp. 145-146

Author(s):

A I Sargsyan

Keyword(s):

Dirac Operator ◽

Boundary Conditions ◽

Spectral Parameter ◽

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Mean value formula for the root vector functions of the Dirac operator

Differential Equations ◽

10.1134/s0012266112020139 ◽

2012 ◽

Vol 48 (2) ◽

pp. 296-300 ◽

Author(s):

A. I. Ismailova

Keyword(s):

Dirac Operator ◽

Root Vector ◽

Mean Value Formula

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Absolute and uniform convergence of expansions in the root vector functions of the Dirac operator

Doklady Mathematics ◽

10.1134/s1064562412050201 ◽

2012 ◽

Vol 86 (2) ◽

pp. 663-666 ◽

Author(s):

V. M. Kurbanov ◽

A. I. Ismailova

Keyword(s):

Dirac Operator ◽

Uniform Convergence ◽

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