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Is PLA large?

Gady Kozma·Alexander Olevskii
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Abstract

We examine the class of functions representable by an analytic sum (by which we mean a trigonometric sum involving only positive frequencies) converging almost everywhere. We show that it is dense but that it is first category and has zero Wiener measure.

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Gady Kozma, Alexander Olevskii. 2005-10-18. Is PLA large?. https://arxiv.org/abs/math/0510130

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