Guilherme Vedana

activity

20232026

collaborators

3 papers

math.CA2026

Classification of Fourier summation formulas on a horizontal strip

Guilherme Vedana

We classify Fourier summation identities in which the measure on the Fourier side is supported in a horizontal strip of $C$ . Let $μ = ν + η$ , where $ν$ is a strongly tempered…

math.CA2025

A Complete Classification of Fourier Summation Formulas on the real line

Felipe Gonçalves, Guilherme Vedana

We completely classify Fourier summation formulas of the form $\int_{R} φ (t) d μ (t) = n = 0 \sum \infty a (λ_{n}) φ (λ_{n}),$ that hold for any test function $φ$ , wher…

math.NT2023

Sphere Packings in Euclidean Space with Forbidden Distances

Felipe Gonçalves, Guilherme Vedana

We study the sphere packing problem in Euclidean space where we impose additional constraints on the separations of the center points. We prove that any sphere packing in dimension…