For each (v>0) and (omega in mathbb{R}), the Matrn function (M_{v}left(left|t-t^{prime}ight|ight) e^{i omegaleft(t-t^{prime}ight)}) defines a stationary complex Gaussian process on the real line with frequency

For each \(v>0\) and \(\omega \in \mathbb{R}\), the Matérn function \(M_{v}\left(\left\|t-t^{\prime}ight\|ight) e^{i \omega\left(t-t^{\prime}ight)}\) defines a stationary complex Gaussian process on the real line with frequency \(|\omega|\). Show that the conjugate process \(t \mapsto \bar{Z}(t)\) has the same distribution as the reversetime process \(t \mapsto Z(-t)\).