Inverse spectral problem for differential operators with rational scattering matrix functions

D. Alpay; I. Gohberg

doi:10.1006/jdeq.1995.1064

Inverse spectral problem for differential operators with rational scattering matrix functions

D. Alpay, I. Gohberg

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

30 Scopus citations

Abstract

In this paper we obtain explicit formulas for the potential of an ordinary differential operator if its spectral function or its scattering functions are rational matrix functions which are analytic and invertible on the real line including infinity. The solution is given in terms of a realization of the spectral function or of the scattering function.

Original language	English
Pages (from-to)	1-19
Number of pages	19
Journal	Journal of Differential Equations
Volume	118
Issue number	1
DOIs	https://doi.org/10.1006/jdeq.1995.1064
State	Published - 1 May 1995
Externally published	Yes

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1006/jdeq.1995.1064

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Inverse spectral problem for differential operators with rational scattering matrix functions

Abstract

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