Geodesic
Spectral Properties of the Schr\"odinger Operator with $\delta$-Distribution
Matematičeskie zametki, Tome 100 (2016) no. 2, pp. 256-269.

Voir la notice de l'article provenant de la source Math-Net.Ru

For the one-dimensional Schrödinger operator with $\delta$-interactions, two-sided estimates of the distribution function of the eigenvalues and a criterion for the discreteness of the spectrum in terms of the Otelbaev function are obtained. A criterion for the resolvent of the Schrödinger operator to belong to the class $\mathfrak S_p$ is established.
Keywords: Schrödinger operator, semiboundedness below of the distribution functions of eigenvalues, discreteness of the spectrum of the Schrödinger operator, point interactions. 
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Medet Nursultanov. Spectral Properties of the Schr\"odinger Operator with $\delta$-Distribution. Matematičeskie zametki, Tome 100 (2016) no. 2, pp. 256-269. http://geodesic.mathdoc.fr/item/MZM_2016_100_2_a5/

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