The Ergodic Hilbert Transform for Admissible Processes
Canadian mathematical bulletin, Tome 49 (2006) no. 2, pp. 203-212
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It is shown that the ergodic Hilbert transform exists for a class of bounded symmetric admissible processes relative to invertible measure preserving transformations. This generalizes the well-known result on the existence of the ergodic Hilbert transform.
Çömez, Doğan. The Ergodic Hilbert Transform for Admissible Processes. Canadian mathematical bulletin, Tome 49 (2006) no. 2, pp. 203-212. doi: 10.4153/CMB-2006-021-2
@article{10_4153_CMB_2006_021_2,
author = {\c{C}\"omez, Do\u{g}an},
title = {The {Ergodic} {Hilbert} {Transform} for {Admissible} {Processes}},
journal = {Canadian mathematical bulletin},
pages = {203--212},
year = {2006},
volume = {49},
number = {2},
doi = {10.4153/CMB-2006-021-2},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2006-021-2/}
}
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