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A Wiener—Wintner property for the helical transform

Published online by Cambridge University Press:  19 September 2008

I. Assani
I. Assani
Affiliation:
Department of Mathematics, The University of North Carolinaat Chapel Hill, CB#3250 Phillips Hall, Chapel Hill, NC 27599-3250, USA
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Abstract

Let (X,ℱ,μ,ϕ) be a dynamical system ϕ is an invertible measure-preserving transformation on the measure space (X,ℱ,μ). We show that for each p, 1<p<∞,f ∈ Lp(μ) we can find a single null set off which exists for all ε ℝ.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 12 , Issue 2 , June 1992 , pp. 185 - 194
Copyright
Copyright © Cambridge University Press 1992

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References

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