Quasipoint spectral measures in the theory of dynamical systems of conflict
In the framework of dynamical picture of interacting physical systems, the notion of a spectral measure with quasipoint spectrum is introduced. It is shown that, under conflict interaction with point measures, only quasipoint singularly continuous measures are admitted for the transformation into measures with purely point spectrum.
English version (Springer): Ukrainian Mathematical Journal 63 (2011), no. 2, pp 222-235.
Citation Example: Koshmanenko V. D. Quasipoint spectral measures in the theory of dynamical systems of conflict // Ukr. Mat. Zh. - 2011. - 63, № 2. - pp. 187-199.