The Choice of a Basis in the Space VG

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

Research output: Chapter in Book/Report/Conference proceedingChapter

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 languageEnglish (US)
Title of host publicationSpringerBriefs in Applied Sciences and Technology
PublisherSpringer Science and Business Media Deutschland GmbH
Pages29-40
Number of pages12
DOIs
StatePublished - 2020

Publication series

NameSpringerBriefs 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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