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 me...
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| Date: | 2011 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2011
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/2710 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| Summary: | 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. |
|---|