We discuss the disjointness of two classes of stable stochastic processes: moving averages and Fourier transforms. Results on the incompatibility of these two representations date back to Urbanik. Here we extend various disjointness results to encompass larger classes of processes.
@article{bwmeta1.element.bwnjournal-article-smv105i3p235bwm,
author = {Michael Hern\'andez and Christian Houdr\'e},
title = {Disjointness results for some classes of stable processes},
journal = {Studia Mathematica},
volume = {104},
year = {1993},
pages = {235-252},
zbl = {0810.60044},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv105i3p235bwm}
}
Hernández, Michael; Houdré, Christian. Disjointness results for some classes of stable processes. Studia Mathematica, Tome 104 (1993) pp. 235-252. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv105i3p235bwm/
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