460 research outputs found
Pointwise convergence of averages along cubes
Let be a measure preserving system. We prove the
pointwise convergence of the averages and of similar averages with seven bounded
functions.Comment: 18 pages, latex, We have replaced Lemma 2 with a new one. We also
have added a referenc
Extension of Wiener-Wintner double recurrence theorem to polynomials
We extend the authors' previous work on Wiener-Wintner double recurrence
theorem to the case of polynomials.Comment: A few typos corrected and more details given in the proof of Theorem
3.
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