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Scattering matrices and Dirichlet-to-Neumann maps

Journal of functional analysis, 2017-09, Vol.273 (6), p.1970-2025

2017

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On the completeness and Riesz basis property of root subspaces of boundary value problems for first order systems and applications

Journal of spectral theory, 2015-01, Vol.5 (1), p.17-70

2015

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Completeness Property of One-Dimensional Perturbations of Normal and Spectral Operators Generated by First Order Systems

Integral equations and operator theory, 2019-08, Vol.91 (4), p.1-35, Article 37

2019

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On the completeness property of root vector systems for 2 × 2 Dirac type operators with non-regular boundary conditions

Journal of mathematical analysis and applications, 2025-03, Vol.543 (2), p.128949, Article 128949

2025

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Deficiency indices and discreteness property of block Jacobi matrices and Dirac operators with point interactions

Journal of mathematical analysis and applications, 2022-02, Vol.506 (1), p.125582, Article 125582

2022

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On the Riesz basis property of root vectors system for 2×2 Dirac type operators

Journal of mathematical analysis and applications, 2016-09, Vol.441 (1), p.57-103

2016

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Stability of spectral characteristics of boundary value problems for 2 × 2 Dirac type systems. Applications to the damped string

Journal of Differential Equations, 2022-03, Vol.313, p.633-742

2022

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1-D Schrödinger operators with local point interactions on a discrete set

Journal of Differential Equations, 2010-07, Vol.249 (2), p.253-304

2010

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On the completeness of root subspaces of boundary value problems for first order systems of ordinary differential equations

Journal of functional analysis, 2012-10, Vol.263 (7), p.1939-1980

2012

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On the unitary equivalence of absolutely continuous parts of self-adjoint extensions

Journal of functional analysis, 2011-02, Vol.260 (3), p.613-638

2011

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Spectral theory of Schrödinger operators with infinitely many point interactions and radial positive definite functions

Journal of functional analysis, 2012-11, Vol.263 (10), p.3144-3194

2012

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Transformation Operators for Fractional Order Ordinary Differential Equations and Their Applications

Transmutation Operators and Applications, p.539-572

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On Spectral Synthesis for Dissipative Dirac Type Operators

Integral equations and operator theory, 2014-09, Vol.80 (1), p.79-106

2014

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Scattering matrices and Weyl functions

Proceedings of the London Mathematical Society, 2008-11, Vol.97 (3), p.568-598

2008

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Elliptic and weakly coercive systems of operators in Sobolev spaces

Sbornik. Mathematics, 2008-12, Vol.199 (11), p.1649-1686

2008

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Spectral theory of fractional order integration operators, their direct sums, and similarity problem to these operators of their weak perturbations

Basic Theory, 2019

2019

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The similarity problem for J-nonnegative Sturm–Liouville operators

Journal of Differential Equations, 2009-02, Vol.246 (3), p.964-997

2009

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Scattering Theory for Open Quantum Systems with Finite Rank Coupling

Mathematical physics, analysis, and geometry, 2007-11, Vol.10 (4), p.313-358

2007

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Finite Rank Perturbations, Scattering Matrices and Inverse Problems

Recent Advances in Operator Theory in Hilbert and Krein Spaces, p.61-85

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Deficiency Indices of Block Jacobi Matrices: Survey

Contemporary Mathematics. Fundamental Directions, 2021-12, Vol.67 (2), p.237-254

2021

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Trace Formulae for Dissipative and Coupled Scattering Systems

Spectral Theory in Inner Product Spaces and Applications, p.49-85

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Perturbation determinants for singular perturbations

2013

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Uniqueness of the Matrix Sturm-Liouville Equation given a Part of the Monodromy Matrix, and Borg Type Results

Sturm-Liouville Theory, p.237-270

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On the unitary equivalence of absolutely continuous parts of self-adjoint extensions : dedicated to the memory of M. S. Birman

2009

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The Inverse Spectral Problem for First Order Systems on the Half Line

Differential Operators and Related Topics, p.199-238

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Scattering matrices and Dirichlet-to-Neumann maps

On the completeness and Riesz basis property of root subspaces of boundary value problems for first order systems and applications

Completeness Property of One-Dimensional Perturbations of Normal and Spectral Operators Generated by First Order Systems

On the completeness property of root vector systems for 2 × 2 Dirac type operators with non-regular boundary conditions

Deficiency indices and discreteness property of block Jacobi matrices and Dirac operators with point interactions

On the Riesz basis property of root vectors system for 2×2 Dirac type operators

Stability of spectral characteristics of boundary value problems for 2 × 2 Dirac type systems. Applications to the damped string

1-D Schrödinger operators with local point interactions on a discrete set

On the completeness of root subspaces of boundary value problems for first order systems of ordinary differential equations

On the unitary equivalence of absolutely continuous parts of self-adjoint extensions

Spectral theory of Schrödinger operators with infinitely many point interactions and radial positive definite functions

Transformation Operators for Fractional Order Ordinary Differential Equations and Their Applications

On Spectral Synthesis for Dissipative Dirac Type Operators

Scattering matrices and Weyl functions

Elliptic and weakly coercive systems of operators in Sobolev spaces

Spectral theory of fractional order integration operators, their direct sums, and similarity problem to these operators of their weak perturbations

The similarity problem for J-nonnegative Sturm–Liouville operators

Scattering Theory for Open Quantum Systems with Finite Rank Coupling

Finite Rank Perturbations, Scattering Matrices and Inverse Problems

Deficiency Indices of Block Jacobi Matrices: Survey

Trace Formulae for Dissipative and Coupled Scattering Systems

Perturbation determinants for singular perturbations

Uniqueness of the Matrix Sturm-Liouville Equation given a Part of the Monodromy Matrix, and Borg Type Results

On the unitary equivalence of absolutely continuous parts of self-adjoint extensions : dedicated to the memory of M. S. Birman

The Inverse Spectral Problem for First Order Systems on the Half Line

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