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- W2532783506 abstract "Let $p(t)$ be a Hardy field function which grows super-linearly and stays sufficiently far from polynomials. We show that for each measure-preserving system, $(X,Sigma,mu,tau)$, with $tau$ a measure-preserving $mathbb{Z}$-action, the modulated one-sided ergodic Hilbert transform [ sum_{n=1}^infty frac{e^{2pi i p(n)}}{n} tau^n f(x) ] converges $mu$-a.e. for each $f in L^r(X), 1 leq r < infty$. Our approach is motivated by recent work of the first two authors in the field of Euclidean singular integrals." @default.
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- W2532783506 date "2016-10-17" @default.
- W2532783506 modified "2023-09-25" @default.
- W2532783506 title "On Convergence of Modulated Ergodic Hilbert Transforms" @default.
- W2532783506 hasPublicationYear "2016" @default.
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