Functional Models in De Branges Spaces of One Class Commutative Operators
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 10 (2014), pp. 430-450

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For a commutative system of the linear bounded operators $ T_1$, $T_2 $, which operate in the Hilbert space $ H $ and none of the operators $ T_1$, $T_2 $ is a compression, the functional model is constructed. The model is built for a circle in de Branges space.
@article{JMAG_2014_10_a3,
     author = {V. N. Syrovatskyi},
     title = {Functional {Models} in {De} {Branges}  {Spaces} of {One} {Class} {Commutative} {Operators}},
     journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
     pages = {430--450},
     publisher = {mathdoc},
     volume = {10},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JMAG_2014_10_a3/}
}
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V. N. Syrovatskyi. Functional Models in De Branges  Spaces of One Class Commutative Operators. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 10 (2014), pp. 430-450. http://geodesic.mathdoc.fr/item/JMAG_2014_10_a3/