Inverse problem for Sturm-Liouville operators with rational reflection coefficient

Daniel Alpay; Israel Gohberg

doi:10.1007/BF01195586

Inverse problem for Sturm-Liouville operators with rational reflection coefficient

Daniel Alpay, Israel Gohberg

Department of Mathematics

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

6 Scopus citations

Abstract

In this paper we give exact formulas for the potential asssociated to a Sturm-Liouville equation when the reflection coefficient function is rational. The solution is given in terms of a minimal realization of the reflection coefficient function.

Original language	English
Pages (from-to)	317-325
Number of pages	9
Journal	Integral Equations and Operator Theory
Volume	30
Issue number	3
DOIs	https://doi.org/10.1007/BF01195586
State	Published - 1 Jan 1998

ASJC Scopus subject areas

Analysis
Algebra and Number Theory

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10.1007/BF01195586

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abstract = "In this paper we give exact formulas for the potential asssociated to a Sturm-Liouville equation when the reflection coefficient function is rational. The solution is given in terms of a minimal realization of the reflection coefficient function.",

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Inverse problem for Sturm-Liouville operators with rational reflection coefficient

Abstract

ASJC Scopus subject areas

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