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20092022
most citedOn applications of the model spaces to the construction of cocyclic perturbations of the semigroup of shifts on the semiaxis

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math.SP2013

One-dimensional perturbations of unbounded selfadjoint operators with empty spectrum

Anton D. Baranov, Dmitry V. Yakubovich

We study spectral properties of one-dimensional singular perturbations of an unbounded selfadjoint operator and give criteria for the possibility to remove the whole spectrum by a…