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math-ph2018
Unphysical energy sheets and resonances in the Friedrichs-Faddeev model
Alexander K. Motovilov
We consider the Friedrichs-Faddeev model in the case where the kernel of the potential operator is holomorphic in both arguments on a certain domain of . For this model…
math.SP2018★ 2 cited
Preserving of the unconditional basis property under non-self-adjoint perturbations of self-adjoint operators
Alexander K. Motovilov, Andrei A. Shkalikov
Let be a self-adjoint operator in a Hilbert space with domain . Assume that the spectrum of is confined in the union of disjoint intervals $Δ_k =[α_{2k-1…