Correlation Structures
2020 (English)In: SpringerBriefs in Applied Sciences and Technology, Springer Science and Business Media Deutschland GmbH , 2020, p. 41-91Chapter in book (Refereed)
Abstract [en]
We calculate the one- and two-point correlation tensors of a homogeneous and (K, θ) -isotropic random field, where K is one of the 10 closed subgroups of the group O (3 ) lying between the group D2 and its normaliser, O×Z2c, and where θ is the restriction of the natural representation of the group K in the space of all piezoelectric tensors to the 3-dimensional linear space where the group D2 acts trivially. The spectral expansion of such a field in terms of stochastic integrals with respect to certain random measures is also calculated.
Place, publisher, year, edition, pages
Springer Science and Business Media Deutschland GmbH , 2020. p. 41-91
Keywords [en]
Integral equations, Stochastic systems, Correlation structure, Natural representation, Piezoelectric tensor, Random fields, Random measures, Spectral expansions, Stochastic integral, Two-point correlation, Tensors
National Category
Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-52666DOI: 10.1007/978-3-030-60064-8_4Scopus ID: 2-s2.0-85095864823OAI: oai:DiVA.org:mdh-52666DiVA, id: diva2:1502313
2020-11-192020-11-192021-10-11Bibliographically approved