Geodesic
Spectral identities for Schrödinger operators
Canadian mathematical bulletin, Tome 68 (2025) no. 2, pp. 484-491

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DOI

We obtain a system of identities relating boundary coefficients and spectral data for the one-dimensional Schrödinger 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.
DOI : 10.4153/S0008439524000407
Mots-clés : Spectral identities, one-dimensional Schrödinger equation, Sturm–Liouville operator, boundary conditions dependent on the eigenvalue parameter 
Guliyev, Namig J. Spectral identities for Schrödinger operators. Canadian mathematical bulletin, Tome 68 (2025) no. 2, pp. 484-491. doi: 10.4153/S0008439524000407
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     author = {Guliyev, Namig J.},
     title = {Spectral identities for {Schr\"odinger} operators},
     journal = {Canadian mathematical bulletin},
     pages = {484--491},
     year = {2025},
     volume = {68},
     number = {2},
     doi = {10.4153/S0008439524000407},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439524000407/}
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