Abstract:
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.
Key words and phrases:functional model, de Branges space, commutative systems of operators.