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/