Thomas Beretti

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20242026

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math.CA2026

Polynomial-order oscillations in geometric discrepancy

Thomas Beretti

Let $C \subset R^{2}$ be a convex body, and for a positive integer $N$ , let $P$ be a configuration of $N$ points in $[0, 1)^{2}$ . The discrepancy of $P$ with…

math.CA2024

Fourier transform of BV functions and applications

Thomas Beretti, Luca Gennaioli

This paper investigates the relation between the Fourier transform of {\rm BV} (bounded variation) functions and their jump sets. We introduce the notion of $L^{2}$ -jump product and…