Geodesic
Inverse spectral problems and closed exponential systems
Miklós Horváth1
1 Institute of Mathematics, Technical University of Budapest, 1111 Budapest, Hungary
Annals of mathematics, Tome 162 (2005) no. 2, pp. 885-918.

Voir la notice de l'article provenant de la source Annals of Mathematics website

Consider the inverse eigenvalue problem of the Schrödinger operator defined on a finite interval. We give optimal and almost optimal conditions for a set of eigenvalues to determine the Schrödinger operator. These conditions are simple closedness properties of the exponential system corresponding to the known eigenvalues. The statements contain nearly all former results of this topic. We give also conditions for recovering the Weyl-Titchmarsh $m$-function from its values $m(\lambda_n)$.
DOI : 10.4007/annals.2005.162.885

Miklós Horváth 1

1 Institute of Mathematics, Technical University of Budapest, 1111 Budapest, Hungary 
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Miklós Horváth. Inverse spectral problems and closed exponential systems. Annals of mathematics, Tome 162 (2005) no. 2, pp. 885-918. doi : 10.4007/annals.2005.162.885. http://geodesic.mathdoc.fr/articles/10.4007/annals.2005.162.885/

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