J-inner matrix functions, interpolation and inverse problems for canonical systems, IV: Direct and inverse bitangential input scattering problems

Damir Z. Arov; Harry Dym

doi:10.1007/bf01196513

J-inner matrix functions, interpolation and inverse problems for canonical systems, IV: Direct and inverse bitangential input scattering problems

Integral Equations and Operator Theory ◽

10.1007/bf01196513 ◽

2002 ◽

Vol 43 (1) ◽

pp. 1-67 ◽

Cited By ~ 8

Author(s):

Damir Z. Arov ◽

Harry Dym

Keyword(s):

Inverse Problems ◽

Matrix Functions ◽

Scattering Problems ◽

Canonical Systems

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J-Inner matrix functions, interpolation and inverse problems for canonical systems, II: The inverse monodromy problem

Integral Equations and Operator Theory ◽

10.1007/bf01236286 ◽

2000 ◽

Vol 36 (1) ◽

pp. 11-70 ◽

Cited By ~ 16

Author(s):

Damir Z. Arov ◽

Harry Dym

Keyword(s):

Inverse Problems ◽

Matrix Functions ◽

Canonical Systems

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J-inner matrix functions, interpolation and inverse problems for canonical systems, III: More on the inverse monodromy problem

Integral Equations and Operator Theory ◽

10.1007/bf01202092 ◽

2000 ◽

Vol 36 (2) ◽

pp. 127-181 ◽

Cited By ~ 17

Author(s):

Damir Z. Arov ◽

Harry Dym

Keyword(s):

Inverse Problems ◽

Matrix Functions ◽

Canonical Systems

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J-inner matrix functions, interpolation and inverse problems for canonical systems, I: Foundations

Integral Equations and Operator Theory ◽

10.1007/bf01193811 ◽

1997 ◽

Vol 29 (4) ◽

pp. 373-454 ◽

Cited By ~ 31

Author(s):

Damir Z. Arov ◽

Harry Dym

Keyword(s):

Inverse Problems ◽

Matrix Functions ◽

Canonical Systems

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Dirac type and canonical systems: spectral and Weyl–Titchmarsh matrix functions, direct and inverse problems

Inverse Problems ◽

10.1088/0266-5611/18/2/303 ◽

2002 ◽

Vol 18 (2) ◽

pp. 331-348 ◽

Cited By ~ 43

Author(s):

Alexander Sakhnovich

Keyword(s):

Inverse Problems ◽

Matrix Functions ◽

Direct And Inverse Problems ◽

Canonical Systems ◽

Dirac Type

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J-inner matrix functions, interpolation and inverse problems for canonical systems, V: The inverse input scattering problem for Wiener class and rational p�q input scattering matrices

Integral Equations and Operator Theory ◽

10.1007/bf01196514 ◽

2002 ◽

Vol 43 (1) ◽

pp. 68-129 ◽

Cited By ~ 11

Author(s):

Damir Z. Arov ◽

Harry Dym

Keyword(s):

Inverse Problems ◽

Scattering Problem ◽

Matrix Functions ◽

Canonical Systems ◽

Wiener Class ◽

Scattering Matrices

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Discrete Analogs of Canonical Systems with Pseudo-exponential Potential. Definitions and Formulas for the Spectral Matrix Functions

The State Space Method Generalizations and Applications - Operator Theory: Advances and Applications ◽

10.1007/3-7643-7431-4_1 ◽

2006 ◽

pp. 1-47 ◽

Cited By ~ 2

Author(s):

Daniel Alpay ◽

Israel Gohberg

Keyword(s):

Matrix Functions ◽

Exponential Potential ◽

Spectral Matrix ◽

Canonical Systems ◽

Discrete Analogs

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The spectral property of dual matrix strings as a consequence of the existence of spectral matrix functions for canonical systems

Integral Equations and Operator Theory ◽

10.1007/bf01228607 ◽

2000 ◽

Vol 38 (4) ◽

pp. 437-457 ◽

Cited By ~ 3

Author(s):

Israel S. Kac

Keyword(s):

Spectral Property ◽

Matrix Functions ◽

Spectral Matrix ◽

Canonical Systems

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Strongly Regular J-inner Matrix-valued Functions and Inverse Problems for Canonical Systems

Recent Advances in Operator Theory and its Applications ◽

10.1007/3-7643-7398-9_6 ◽

2005 ◽

pp. 101-160 ◽

Cited By ~ 6

Author(s):

Damir Z. Arov ◽

Harry Dym

Keyword(s):

Inverse Problems ◽

Canonical Systems ◽

Strongly Regular

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The band method and inverse problems for orthogonal matrix functions of Szegő–Kreǐn type

Indagationes Mathematicae ◽

10.1016/j.indag.2012.04.007 ◽

2012 ◽

Vol 23 (4) ◽

pp. 900-920

Author(s):

M.A. Kaashoek ◽

L. Lerer

Keyword(s):

Inverse Problems ◽

Orthogonal Matrix ◽

Matrix Functions ◽

Band Method

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Weyl matrix functions and inverse problems for discrete Dirac-type self-adjoint systems: explicit and general solutions

Operators and Matrices ◽

10.7153/oam-02-14 ◽

2008 ◽

pp. 201-231 ◽

Cited By ~ 6

Author(s):

Bernd Fritzsche ◽

Bernd Kirstein ◽

I. Roitberg ◽

Clément de Seg ins Pazzis

Keyword(s):

Inverse Problems ◽

Matrix Functions ◽

General Solutions ◽

Adjoint Systems ◽

Dirac Type ◽

Weyl Matrix

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