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arxiv: 1701.06211 · v1 · pith:PV6HFMVXnew · submitted 2017-01-22 · 🧮 math.CA

Large Fourier Quasicrystals and Wiener's Theorem

Sergey Favorov This is my paper
classification 🧮 math.CA
keywords theoremwienerabsolutelyalmostanalogargumentsconditionsconvergent
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We find new simple conditions for support of a discrete measure on Euclidean space to be a finite union of translated lattices. The arguments are based on a local analog of Wiener's Theorem on absolutely convergent trigonometric series and theory of almost periodic functions.

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  1. On almost periodicity in crystalline measures

    math.FA 2026-05 unverdicted novelty 7.0

    Crystalline measures are almost periodic if and only if translation bounded; new constructions resolve Meyer's and Favorov's questions by exhibiting crystalline measures that are not translation bounded even as distributions.