The Choice of a Basis in the Space VG

Anatoliy Malyarenko; Martin Ostoja-Starzewski; Amirhossein Amiri-Hezaveh

doi:10.1007/978-3-030-60064-8_3

The Choice of a Basis in the Space V_G

Anatoliy Malyarenko, Martin Ostoja-Starzewski, Amirhossein Amiri-Hezaveh

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

The general form of the one- and two-point correlation tensor of a homogeneous and (K, θ) -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.

Original language	English (US)
Title of host publication	SpringerBriefs in Applied Sciences and Technology
Publisher	Springer Science and Business Media Deutschland GmbH
Pages	29-40
Number of pages	12
DOIs	https://doi.org/10.1007/978-3-030-60064-8_3
State	Published - 2020

Publication series

Name	SpringerBriefs in Applied Sciences and Technology
ISSN (Print)	2191-530X
ISSN (Electronic)	2191-5318

ASJC Scopus subject areas

Biotechnology
Chemical Engineering(all)
Mathematics(all)
Materials Science(all)
Energy Engineering and Power Technology
Engineering(all)

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10.1007/978-3-030-60064-8_3

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