Resolvent convergence of Sturm-Liouville operators with singular potentials

preprint2010arXivOpen access

Abstract

In this paper we consider the Sturm-Liuoville operator in the Hilbert space L2L_2 with the singular complex potential of W2−1W^{-1}_2 and two-point boundary conditions. For this operator we give sufficient conditions for norm resolvent approximation by the operators of the same class.

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