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 compa…