If \(Z: \mathbb{R}^{3} ightarrow \mathbb{R}^{3}\) is the Gaussian process with parameter \((\omega, ho)\) as defined in the preceding exercise, and \(R\) is a \(3 \mathrm{D}\) rotation, show that the domain-rotated process \(x \mapsto Z\left(R^{\prime} xight)\) is Gaussian with parameter \((R \omega, ho)\). Show also that \(R Z\) is Gaussian with parameter \((\omega, R ho)\), while \(R Z R^{\prime}\) is Gaussian with parameter \((R \omega, R ho)\).