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Quasipoint spectral measures in the theory of dynamical systems of conflict

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Ukrainian Mathematical Journal Aims and scope

A notion of spectral measure with quasipoint spectrum is introduced within the framework of the dynamic picture of interacting physical systems. It is shown that, in the case of conflict interaction with point measures, only quasipoint singularly continuous measures can be transformed into measures with pure point spectrum.

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian National Academy of Sciences, Kyiv, Ukraine

    V. D. Koshmanenko

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  1. V. D. Koshmanenko
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 63, No. 2, pp. 187–199, February, 2011.

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Koshmanenko, V.D. Quasipoint spectral measures in the theory of dynamical systems of conflict. Ukr Math J 63, 222–235 (2011). https://doi.org/10.1007/s11253-011-0500-5

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  • DOI: https://doi.org/10.1007/s11253-011-0500-5

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