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Some spectral properties of the generalized Friedrichs model

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Abstract

The spectrum and the resonance of the generalized Friedrichs model are studied. The existence of the wave operators and of the scattering operator is established. The structure of the resonances, the connection between resonances and eigenvalues, and the singularities of the scattering matrix are investigated.

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  1. S. N. Lakaev
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Translated from Trudy Seminara imeni I. G. Petrovskogo, No. 11, pp. 210–238, 1986.

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Lakaev, S.N. Some spectral properties of the generalized Friedrichs model. J Math Sci 45, 1540–1563 (1989). https://doi.org/10.1007/BF01097277

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  • DOI: https://doi.org/10.1007/BF01097277

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