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arxiv: 1307.7655 · v1 · pith:LHRY3R4Snew · submitted 2013-07-29 · 🧮 math.DS · math.FA

Good Modulating Sequences for the Ergodic Hilbert Transform

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keywords sequencesboundedclassesergodicgoodhilberttransformarticle
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This article investigates classes of bounded sequences of complex numbers that are universally good for the ergodic Hilbert transform in L_p-spaces, 2\leq p\leq \infty : The class of bounded Besicovitch sequences satisfying a rate condition is among such sequence classes.

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