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The Ergodic Hilbert Transform for Admissible Processes

Published online by Cambridge University Press:  20 November 2018

Doğan Çömez
Doğan Çömez*
Affiliation:
Department of Mathematics, North Dakota State University, Fargo, ND 58105-5075, U.S.A e-mail: Dogan.Comez@ndsu.nodak.edu
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Abstract

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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.

Keywords

28D0537A99Hilbert transformadmissible processes
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 49 , Issue 2 , 01 June 2006 , pp. 203 - 212
Copyright
Copyright © Canadian Mathematical Society 2006

References

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