Moments of Gaussian processes in terms of generalized multidimensional Hermite polynomials (Corresp.)

New properties are derived for the moments of real and of complex Ganssian processes. The present analysis shows that all the properties of the multidimensional generalized Hermite polynomials can readily be transcribed into properties of Gaussian processes. Our results are general and hold for processes that are not necessarily of zero mean or stationary; the covariance matrix may be symmetric or nonsymmetric.