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Spectral Analysis, Model Theory and Applications of Finite-Rank Perturbations

Published 11 Apr 2019 in math.SP, math-ph, math.CV, and math.MP | (1904.09833v1)

Abstract: This survey focuses on two main types of finite-rank perturbations: self-adjoint and unitary. We describe both classical and more recent spectral results. We pay special attention to singular self-adjoint perturbations and model representations of unitary perturbations.

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