Abstract
The general form of the one- and two-point correlation tensor of a homogeneous and \((K,\theta )\)-isotropic random field and the spectral expansion of such a field in terms of stochastic integrals with respect to certain random measures depend on the choice of a basis in the linear space where the field takes its values. We choose a basis for 11 different fields. It turns out that the basis depends only on the crystal system of the group K.
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Malyarenko, A., Ostoja-Starzewski, M., Amiri-Hezaveh, A. (2020). The Choice of a Basis in the Space \({\mathsf {V}}_G\). In: Random Fields of Piezoelectricity and Piezomagnetism. SpringerBriefs in Applied Sciences and Technology(). Springer, Cham. https://doi.org/10.1007/978-3-030-60064-8_3
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DOI: https://doi.org/10.1007/978-3-030-60064-8_3
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Publisher Name: Springer, Cham
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Online ISBN: 978-3-030-60064-8
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