Geodesic
Reconstruction of the Schrödinger operator with a singular potential on half-line by its prescribed essential spectrum
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2023), pp. 57-60 
G. A. Agafonkin. Reconstruction of the Schrödinger operator with a singular potential on half-line by its prescribed essential spectrum. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2023), pp. 57-60. http://geodesic.mathdoc.fr/item/VMUMM_2023_4_a9/
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     author = {G. A. Agafonkin},
     title = {Reconstruction of the {Schr\"odinger} operator with a singular potential on half-line by its prescribed essential spectrum},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {57--60},
     year = {2023},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2023_4_a9/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

Singular Schrodinger operators on $L^2([0,+\infty))$ with the potential of the form $\sum_{k=1}^{+\infty}a_k\delta_{x_k}$, where $x_k~{>}~0$ and $a_k~{\in}~\mathbb{R}$, are considered. It is constructively proved that every closed semibounded set $S\subset\mathbb{R}$ can be the essential spectrum of such operator.

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