Self-adjointness of Schroedinger operators with singular potentials
  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). 
Rostyslav O. Hryniv and Yaroslav V. Mykytyuk
math.SP math.FA