August 27, 2024Open Access

The Fourier transform of planar convex bodies and discrepancy over intervals of rotations

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Abstract

This work investigates the relation between the Fourier transform of a planar convex body and its geometric properties. The second matter of study is the quadratic discrepancy of planar convex bodies, and we present sharp results on its asymptotic behaviour. In particular, averages over intervals of rotations are considered.

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Thomas Beretti (Tue,) studied this question.

synapsesocial.com/papers/68e5adbeb6db64358754715a https://doi.org/https://doi.org/10.48550/arxiv.2408.15412

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