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# The Ergodic Hilbert Transform for Admissible Processes

Published:2006-06-01
Printed: Jun 2006
• Doğan Çömez
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## Abstract

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: Hilbert transform, admissible processes
 MSC Classifications: 28D05 - Measure-preserving transformations 37A99 - None of the above, but in this section

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