E. Palsson

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20242026

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math.CA2025

The Fourier Ratio: Uncertainty, Restriction, and Approximation for Compactly Supported Measures

A. Iosevich, Z. Li, E. Palsson +1

We introduce a continuous analog of the Fourier ratio for compactly supported Borel measures. For a measure $μ$ on $\mathbb{R}^d$ and $f\in L^2(μ)$, the Fourier ratio compare…

math.CA2025

Nonempty interior of pinned distance and tree sets

Tainara Borges, Benjamin Foster, Yumeng Ou +1

For a compact set $E \subset R^{d}$ , $d \geq 2$ , consider the pinned distance set $Δ^{y} (E) = {∣ x - y ∣ : x \in E}$ . Peres and Schlag showed that if the Hausdorff dimens…