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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