Explicit form of the time operator of a Gaussian stationary process (Q1768675)

A semigroup \(\{V_t\}_{t\in I}\) of isometries on a Hilbert space is called the time operator of a self-adjoint operator \((T,\mathcal D(T))\), if \(TV_t =V_t T+t V_t\) holds on \(\mathcal D(T)\) for all \(t\in I\). The author constructs the time operator for discrete time stationary Gaussian processes.