Regular stationary stochastic vector processes whose spectral densities are the boundary values of matrix functions with bounded Nevanlinna characteristic are considered. A criterion for the representability of such processes as output data of linear time invariant dynamical systems is established.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm222-3-1,
author = {Victor D. Didenko and Natalia A. Rozhenko},
title = {A class of stationary stochastic processes},
journal = {Studia Mathematica},
volume = {223},
year = {2014},
pages = {191-205},
zbl = {1301.93146},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm222-3-1}
}
Victor D. Didenko; Natalia A. Rozhenko. A class of stationary stochastic processes. Studia Mathematica, Tome 223 (2014) pp. 191-205. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm222-3-1/