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On Conditions for the Applicability of the Lax–Phillips Scattering Scheme to the Investigation of an Abstract Wave Equation

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Abstract

We find necessary and sufficient conditions under which orthogonal incoming and outgoing subspaces exist for a group of solutions of an abstract wave equation and possess an additional property of “equivalence” with respect to the operator of time reversion.

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  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    S. A. Kuzhel'

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  1. S. A. Kuzhel'
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Kuzhel', S.A. On Conditions for the Applicability of the Lax–Phillips Scattering Scheme to the Investigation of an Abstract Wave Equation. Ukrainian Mathematical Journal 55, 749–760 (2003). https://doi.org/10.1023/B:UKMA.0000010254.76966.95

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  • DOI: https://doi.org/10.1023/B:UKMA.0000010254.76966.95

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