Spectral Expansions of Homogeneous and Isotropic Tensor-Valued Random Fields

Anatoliy Malyarenko, Martin Ostoja-Starzewski

We establish spectral expansions of homogeneous and isotropic random fields taking values in the $3$-dimensional Euclidean space $E^3$ and in the space ${\mathsf{S}}^2(E^3)$ of symme…