The present paper is devoted to further development of commutative nonstationary field themes; the first studies in this area were performed by K. Kirchev and V. Zolotarev [4, 5]. In this paper a more complicated variant of commutative field with nonstationary rank 2, carrying into more general situation for correlation function is studied. A condition of consistency (see (7) below) for commutative field is placed in the basis of the method proposed in [4, 5] and developed in this paper. The following semigroup structures of correlation theory for disturbances and semigroups are used in this case: $T_t (\varepsilon )=\exp (it A_{\varepsilon })$, $A_\varepsilon = A_1 +\varepsilon A_2$, $|\varepsilon | \ll 1$.
@article{107830,
author = {Hatamleh Ra'ed},
title = {Commutative nonstationary stochastic fields},
journal = {Archivum Mathematicum},
volume = {038},
year = {2002},
pages = {161-169},
zbl = {1068.60051},
mrnumber = {1921588},
language = {en},
url = {http://dml.mathdoc.fr/item/107830}
}
Ra'ed, Hatamleh. Commutative nonstationary stochastic fields. Archivum Mathematicum, Tome 038 (2002) pp. 161-169. http://gdmltest.u-ga.fr/item/107830/
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