We study unbounded selfadjoint operators that are unitarily equivalent to their affine transformation. We investigate transformation properties of an operator-valued M-function associated with given affine-invariant operator as well as spectral properties of operators that occur in that investigation.
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Southern Fed Univ, Reg Math Ctr, Rostov Na Donu, RussiaSouthern Fed Univ, Reg Math Ctr, Rostov Na Donu, Russia
Avetisyan, Zhirayr
Karapetyants, Alexey
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Southern Fed Univ, Reg Math Ctr, Rostov Na Donu, Russia
Southern Fed Univ, Inst Math Mech & Comp Sci, Rostov Na Donu, RussiaSouthern Fed Univ, Reg Math Ctr, Rostov Na Donu, Russia