Self-adjointness of Schroedinger operators with singular potentials
Autor: | Hryniv, Rostyslav O., Mykytyuk, Yaroslav V. |
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Rok vydání: | 2011 |
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Druh dokumentu: | Working Paper |
Popis: | We study one-dimensional Schroedinger operators S with real-valued distributional potentials q in W^{-1}_{2,loc}(R) and prove an extension of the Povzner-Wienholtz theorem on self-adjointness of bounded below S thus providing additional information on its domain. The results are further specified for q in W^{-1}_{2,unif}(R). Comment: AMS-LaTeX, 8 pages; essentially revised; to appear in Meth. Funct. Anal. Topol. 18 (2012), no. 2 |
Databáze: | arXiv |
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