Inverse spectral problems for difference operators with rational scattering matrix function

Daniel Alpay; Israel Gohberg

doi:10.1007/BF01679669

Inverse spectral problems for difference operators with rational scattering matrix function

Daniel Alpay, Israel Gohberg

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

In this paper we obtain explicit formulas for the coefficients of a second order difference block operator if its spectral or its scattering functions are rational matrix functions analytic and invertible on the unit circle. The solutions are given in terms of realizations of the spectral or scattering function.

Original language	English
Pages (from-to)	125-170
Number of pages	46
Journal	Integral Equations and Operator Theory
Volume	20
Issue number	2
DOIs	https://doi.org/10.1007/BF01679669
State	Published - 1 Jun 1994

Keywords

AMS Subject Classification Numbers: 47A40, 33C45, 81U40

ASJC Scopus subject areas

Analysis
Algebra and Number Theory

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10.1007/BF01679669

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abstract = "In this paper we obtain explicit formulas for the coefficients of a second order difference block operator if its spectral or its scattering functions are rational matrix functions analytic and invertible on the unit circle. The solutions are given in terms of realizations of the spectral or scattering function.",

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AU - Gohberg, Israel

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AB - In this paper we obtain explicit formulas for the coefficients of a second order difference block operator if its spectral or its scattering functions are rational matrix functions analytic and invertible on the unit circle. The solutions are given in terms of realizations of the spectral or scattering function.

KW - AMS Subject Classification Numbers: 47A40, 33C45, 81U40

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JO - Integral Equations and Operator Theory

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ER -

Inverse spectral problems for difference operators with rational scattering matrix function

Abstract

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ASJC Scopus subject areas

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