Self-adjointness of Schroedinger operators with singular potentials

Published 3 Nov 2011 in math.SP and math.FA | (1111.0809v2)

Abstract: 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).}

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