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This article is cited in 5 scientific papers (total in 5 papers)
Negative powers of a singular Schrödinger operator and convergence of spectral decompositions
A. R. Khalmukhamedov V. I. Lenin Tashkent State University
Abstract:
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.
Received: 23.08.1993
Citation:
A. R. Khalmukhamedov, “Negative powers of a singular Schrödinger operator and convergence of spectral decompositions”, Mat. Zametki, 59:3 (1996), 428–436; Math. Notes, 59:3 (1996), 303–309
Linking options:
https://www.mathnet.ru/eng/mzm1731https://doi.org/10.4213/mzm1731 https://www.mathnet.ru/eng/mzm/v59/i3/p428
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Abstract page: | 438 | Full-text PDF : | 207 | References: | 74 | First page: | 1 |
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