19-56 Namig J. Guliyev

Spectral identities for Schrodinger operators (317K, pdf) Oct 23, 19

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Abstract. We obtain a system of identities relating boundary coefficients and spectral data for the one-dimensional Schrodinger equation with boundary conditions containing rational Herglotz-Nevanlinna functions of the eigenvalue parameter. These identities can be thought of as a kind of mini version of the Gelfand-Levitan integral equation for boundary coefficients only.

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