Geodesic
Negative powers of a singular Schrödinger operator and convergence of spectral decompositions
Matematičeskie zametki, Tome 59 (1996) no. 3, pp. 428-436 
A. R. Khalmukhamedov. Negative powers of a singular Schrödinger operator and convergence of spectral decompositions. Matematičeskie zametki, Tome 59 (1996) no. 3, pp. 428-436. http://geodesic.mathdoc.fr/item/MZM_1996_59_3_a11/
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     author = {A. R. Khalmukhamedov},
     title = {Negative powers of a~singular {Schr\"odinger} operator and convergence of spectral decompositions},
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Voir la notice de l'article provenant de la source Math-Net.Ru

We compare the $L_2(\mathbb R^N)$-norms of negative powers of various Laplace and Schrödinger operators possessing a singular potential whose singularities lie on some manifolds. We write out sufficient conditions for uniform convergence and localization of spectral decompositions of functions from the Liouville class.

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