Inverse spectral problems and closed exponential systems


Consider the inverse eigenvalue problem of the Schr¿odinger operator de- fined on a finite interval. We give optimal and almost optimal conditions for a set of eigenvalues to determine the Schr¿odinger 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(ën)

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Secretaría de Estado de Cultura

Last time updated on 05/02/2019

This paper was published in Secretaría de Estado de Cultura.

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