We use sum rules of a special form to study spectral properties of Jacobi matrices. As a consequence of the main theorem, we obtain a discrete counterpart of a result by Molchanov, Novitskii and Vainberg (Comm. Math. Phys. 216 (2001) 195–213).
Nous appliquons les règles de sommation de Case à l'étude de propriétés spectrales de matrices de Jacobi d'un certain type. Nous obtenons un analogue discret d'un résultat de Molchanov, Novitskii and Vainberg (Comm. Math. Phys. 216 (2001) 195–213) comme un des corollaires du théorème principal.
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Stanislav Kupin 1
@article{CRMATH_2003__336_7_611_0, author = {Stanislav Kupin}, title = {On sum rules of special form for {Jacobi} matrices}, journal = {Comptes Rendus. Math\'ematique}, pages = {611--614}, publisher = {Elsevier}, volume = {336}, number = {7}, year = {2003}, doi = {10.1016/S1631-073X(03)00132-8}, language = {en}, }
Stanislav Kupin. On sum rules of special form for Jacobi matrices. Comptes Rendus. Mathématique, Volume 336 (2003) no. 7, pp. 611-614. doi : 10.1016/S1631-073X(03)00132-8. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(03)00132-8/
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