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The Ergodic Hilbert Transform for Admissible Processes

Open Access article
  Published:2006-06-01
 Printed: Jun 2006
Canadian Mathematical Bulletin
  • 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 Hilbert transform, admissible processes
MSC Classifications: 28D05, 37A99 show english descriptions Measure-preserving transformations
None of the above, but in this section 28D05 - Measure-preserving transformations
37A99 - None of the above, but in this section
 
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