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 ◽

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 ◽

Author(s):

Israel S. Kac

Keyword(s):

Spectral Property ◽

Matrix Functions ◽

Spectral Matrix ◽

Canonical Systems

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Discrete Analogs of Canonical Systems with Pseudo-exponential Potential. Inverse Problems

Operator Theory: Advances and Applications - Interpolation, Schur Functions and Moment Problems ◽

10.1007/3-7643-7547-7_2 ◽

2006 ◽

pp. 31-65 ◽

Author(s):

Daniel Alpay ◽

Israel Gohberg

Keyword(s):

Inverse Problems ◽

Exponential Potential ◽

Canonical Systems ◽

Discrete Analogs

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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 ◽

Author(s):

Damir Z. Arov ◽

Harry Dym

Keyword(s):

Inverse Problems ◽

Matrix Functions ◽

Canonical Systems

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Direct and Inverse Scattering Problem for Canonical Systems with a Strictly Pseudo - Exponential Potential

Mathematische Nachrichten ◽

10.1002/1522-2616(200007)215:1<5::aid-mana5>3.0.co;2-m ◽

2000 ◽

Vol 215 (1) ◽

pp. 5-31 ◽

Author(s):

D. Alpay ◽

I. Gohberg ◽

M.A. Kaashoek ◽

A.L. Sakhnovich

Keyword(s):

Inverse Scattering ◽

Scattering Problem ◽

Inverse Scattering Problem ◽

Exponential Potential ◽

Canonical Systems

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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 ◽

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, III: More on the inverse monodromy problem

Integral Equations and Operator Theory ◽

10.1007/bf01202092 ◽

2000 ◽

Vol 36 (2) ◽

pp. 127-181 ◽

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 ◽

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 ◽

Author(s):

Alexander Sakhnovich

Keyword(s):

Inverse Problems ◽

Matrix Functions ◽

Direct And Inverse Problems ◽

Canonical Systems ◽

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Canonical systems and transfer matrix-functions

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-97-03749-0 ◽

1997 ◽

Vol 125 (5) ◽

pp. 1451-1455 ◽

Author(s):

Alexander Sakhnovich

Keyword(s):

Transfer Matrix ◽

Matrix Functions ◽

Canonical Systems

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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 ◽

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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