Discrete Self-adjoint Dirac Systems: Asymptotic Relations, Weyl Functions and Toeplitz Matrices

Inverse problem for Dirac systems with locally square-summable potentials and rectangular Weyl functions

Journal of Spectral Theory ◽

10.4171/jst/106 ◽

2015 ◽

Vol 5 (3) ◽

pp. 547-569 ◽

Cited By ~ 8

Author(s):

Alexander Sakhnovich

Keyword(s):

Inverse Problem ◽

Dirac Systems ◽

Weyl Functions

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On Accelerants and Their Analogs, and on the Characterization of the Rectangular Weyl Functions for Dirac Systems with Locally Square-Integrable Potentials on a Semi-Axis

Indefinite Inner Product Spaces, Schur Analysis, and Differential Equations - Operator Theory: Advances and Applications ◽

10.1007/978-3-319-68849-7_16 ◽

2018 ◽

pp. 393-406

Author(s):

Alexander Sakhnovich

Keyword(s):

Dirac Systems ◽

Weyl Functions

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Weyl functions of generalized dirac systems: Integral representation, the inverse problem and discrete interpolation

Journal d Analyse Mathématique ◽

10.1007/s11854-012-0002-x ◽

2012 ◽

Vol 116 (1) ◽

pp. 17-51 ◽

Cited By ~ 4

Author(s):

B. Fritzsche ◽

B. Kirstein ◽

A. L. Sakhnovich

Keyword(s):

Inverse Problem ◽

Integral Representation ◽

Dirac Systems ◽

Weyl Functions

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Discrete Dirac systems on the semiaxis: rational reflection coefficients and Weyl functions

The Journal of Difference Equations and Applications ◽

10.1080/10236198.2019.1572126 ◽

2019 ◽

Vol 25 (2) ◽

pp. 294-304 ◽

Cited By ~ 1

Author(s):

B. Fritzsche ◽

B. Kirstein ◽

I. Ya. Roitberg ◽

A. L. Sakhnovich

Keyword(s):

Reflection Coefficients ◽

Dirac Systems ◽

Rational Reflection ◽

Weyl Functions

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Scattering for general-type Dirac systems on the semi-axis: reflection coefficients and Weyl functions

Journal of Differential Equations ◽

10.1016/j.jde.2018.06.024 ◽

2018 ◽

Vol 265 (10) ◽

pp. 4820-4834 ◽

Cited By ~ 3

Author(s):

Alexander Sakhnovich

Keyword(s):

General Type ◽

Reflection Coefficients ◽

Dirac Systems ◽

Weyl Functions

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Skew-selfadjoint Dirac systems with rational rectangular Weyl functions: explicit solutions of direct and inverse problems and integrable wave equations

Mathematische Nachrichten ◽

10.1002/mana.201500069 ◽

2016 ◽

Vol 289 (14-15) ◽

pp. 1792-1819 ◽

Cited By ~ 4

Author(s):

B. Fritzsche ◽

M. A. Kaashoek ◽

B. Kirstein ◽

A. L. Sakhnovich

Keyword(s):

Inverse Problems ◽

Wave Equations ◽

Explicit Solutions ◽

Direct And Inverse Problems ◽

Dirac Systems ◽

Weyl Functions

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Generalized Updating Problems and Computation of the Eigenvalues of Rational Toeplitz Matrices

Linear Algebra and its Applications ◽

10.1016/s0024-3795(97)00012-8 ◽

1997 ◽

Vol 267 (1-3) ◽

pp. 187-219

Author(s):

F Di Benedetto

Keyword(s):

Toeplitz Matrices

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On Bilinear Forms in Gaussian Random Variables, Toeplitz Matrices and Parseval's Relation.

10.21236/ada177100 ◽

1986 ◽

Author(s):

Florin Avram

Keyword(s):

Toeplitz Matrices ◽

Random Variables ◽

Bilinear Forms ◽

Gaussian Random Variables

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The inverses and eigenpairs of tridiagonal Toeplitz matrices with perturbed rows

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-021-01532-x ◽

2021 ◽

Author(s):

Yunlan Wei ◽

Yanpeng Zheng ◽

Zhaolin Jiang ◽

Sugoog Shon

Keyword(s):

Toeplitz Matrices

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Plasmons in anisotropic Dirac systems

Physical Review Materials ◽

10.1103/physrevmaterials.5.024201 ◽

2021 ◽

Vol 5 (2) ◽

Author(s):

Roland Hayn ◽

Te Wei ◽

Vyacheslav M. Silkin ◽

Jeroen van den Brink

Keyword(s):

Dirac Systems

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